Optimal. Leaf size=23 \[ \frac {(-4-\log (3+i \pi -x+\log (3)))^2}{x^4} \]
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Rubi [C] Result contains higher order function than in optimal. Order 4 vs. order 3 in
optimal.
time = 1.27, antiderivative size = 505, normalized size of antiderivative = 21.96, number of steps
used = 42, number of rules used = 23, integrand size = 101, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.228, Rules used = {6, 1607,
6873, 6874, 78, 2465, 2442, 46, 2441, 2352, 2437, 12, 2338, 36, 29, 31, 2445, 2458, 2389, 2379,
2438, 2351, 2356} \begin {gather*} -\frac {2 \text {Li}_2\left (\frac {3+i \pi +\log (3)}{-x+\log (3)+i \pi +3}\right )}{(3+i \pi +\log (3))^4}-\frac {2 \text {Li}_2\left (1-\frac {x}{3+i \pi +\log (3)}\right )}{(\pi -i (3+\log (3)))^4}+\frac {16}{x^4}+\frac {\log ^2(-x+i \pi +3+\log (3))}{x^4}+\frac {8 \log (-x+i \pi +3+\log (3))}{x^4}-\frac {\log (-x+i \pi +3+\log (3))}{x^2 (\pi -i (3+\log (3)))^2}-\frac {\log (-x+i \pi +3+\log (3))}{x^2 (3+i \pi +\log (3))^2}+\frac {1}{3 x^2 (\pi -i (3+\log (3)))^2}+\frac {1}{3 x^2 (3+i \pi +\log (3))^2}+\frac {\log ^2(-x+i \pi +3+\log (3))}{(\pi -i (3+\log (3)))^4}-\frac {2 (-x+i \pi +3+\log (3)) \log (-x+i \pi +3+\log (3))}{x (3+i \pi +\log (3))^4}-\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (-x+i \pi +3+\log (3))}{(\pi -i (3+\log (3)))^4}+\frac {2 \log \left (1-\frac {3+i \pi +\log (3)}{-x+i \pi +3+\log (3)}\right ) \log (-x+i \pi +3+\log (3))}{(3+i \pi +\log (3))^4}+\frac {2 \log (-x+i \pi +3+\log (3))}{x (3+i \pi +\log (3))^3}+\frac {11 \log (x)}{3 (\pi -i (3+\log (3)))^4}-\frac {11 \log (x)}{3 (3+i \pi +\log (3))^4}-\frac {11 \log (-i x-\pi +i (3+\log (3)))}{3 (\pi -i (3+\log (3)))^4}+\frac {5 \log (-i x-\pi +i (3+\log (3)))}{3 (3+i \pi +\log (3))^4} \end {gather*}
Antiderivative was successfully verified.
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Rule 6
Rule 12
Rule 29
Rule 31
Rule 36
Rule 46
Rule 78
Rule 1607
Rule 2338
Rule 2351
Rule 2352
Rule 2356
Rule 2379
Rule 2389
Rule 2437
Rule 2438
Rule 2441
Rule 2442
Rule 2445
Rule 2458
Rule 2465
Rule 6873
Rule 6874
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \frac {-192+56 x-64 (i \pi +\log (3))+(-96+30 x-32 (i \pi +\log (3))) \log (3+i \pi -x+\log (3))+(-12+4 x-4 (i \pi +\log (3))) \log ^2(3+i \pi -x+\log (3))}{-x^6+x^5 (3+i \pi +\log (3))} \, dx\\ &=\int \frac {-192+56 x-64 (i \pi +\log (3))+(-96+30 x-32 (i \pi +\log (3))) \log (3+i \pi -x+\log (3))+(-12+4 x-4 (i \pi +\log (3))) \log ^2(3+i \pi -x+\log (3))}{x^5 (3+i \pi -x+\log (3))} \, dx\\ &=\int \frac {56 x-192 \left (1+\frac {1}{3} (i \pi +\log (3))\right )+(-96+30 x-32 (i \pi +\log (3))) \log (3+i \pi -x+\log (3))+(-12+4 x-4 (i \pi +\log (3))) \log ^2(3+i \pi -x+\log (3))}{x^5 (3+i \pi -x+\log (3))} \, dx\\ &=\int \left (-\frac {8 (-24-8 i \pi +7 x-8 \log (3))}{x^5 (-3-i \pi +x-\log (3))}-\frac {2 (-48-16 i \pi +15 x-16 \log (3)) \log (3+i \pi -x+\log (3))}{x^5 (-3-i \pi +x-\log (3))}-\frac {4 \log ^2(3+i \pi -x+\log (3))}{x^5}\right ) \, dx\\ &=-\left (2 \int \frac {(-48-16 i \pi +15 x-16 \log (3)) \log (3+i \pi -x+\log (3))}{x^5 (-3-i \pi +x-\log (3))} \, dx\right )-4 \int \frac {\log ^2(3+i \pi -x+\log (3))}{x^5} \, dx-8 \int \frac {-24-8 i \pi +7 x-8 \log (3)}{x^5 (-3-i \pi +x-\log (3))} \, dx\\ &=\frac {\log ^2(3+i \pi -x+\log (3))}{x^4}+2 \int \frac {\log (3+i \pi -x+\log (3))}{x^4 (3+i \pi -x+\log (3))} \, dx-2 \int \left (\frac {16 \log (3+i \pi -x+\log (3))}{x^5}+\frac {\log (3+i \pi -x+\log (3))}{x (\pi -i (3+\log (3)))^4}-\frac {i \log (3+i \pi -x+\log (3))}{(-3 i+\pi +i x-i \log (3)) (\pi -i (3+\log (3)))^4}+\frac {i \log (3+i \pi -x+\log (3))}{x^2 (\pi -i (3+\log (3)))^3}-\frac {\log (3+i \pi -x+\log (3))}{x^3 (\pi -i (3+\log (3)))^2}-\frac {i \log (3+i \pi -x+\log (3))}{x^4 (\pi -i (3+\log (3)))}\right ) \, dx-8 \int \left (\frac {8}{x^5}+\frac {1}{x (\pi -i (3+\log (3)))^4}-\frac {i}{(-3 i+\pi +i x-i \log (3)) (\pi -i (3+\log (3)))^4}+\frac {i}{x^2 (\pi -i (3+\log (3)))^3}-\frac {1}{x^3 (\pi -i (3+\log (3)))^2}-\frac {i}{x^4 (\pi -i (3+\log (3)))}\right ) \, dx\\ &=\frac {16}{x^4}+\frac {8}{x (3+i \pi +\log (3))^3}+\frac {8}{3 x^3 (3+i \pi +\log (3))}-\frac {4}{x^2 (\pi -i (3+\log (3)))^2}-\frac {8 \log (x)}{(\pi -i (3+\log (3)))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{x^4}+\frac {8 \log (-\pi -i x+i (3+\log (3)))}{(\pi -i (3+\log (3)))^4}-2 \text {Subst}\left (\int \frac {\log (x)}{x (3+i \pi -x+\log (3))^4} \, dx,x,3+i \pi -x+\log (3)\right )-32 \int \frac {\log (3+i \pi -x+\log (3))}{x^5} \, dx-\frac {2 \int \frac {\log (3+i \pi -x+\log (3))}{x^2} \, dx}{(3+i \pi +\log (3))^3}-\frac {2 \int \frac {\log (3+i \pi -x+\log (3))}{x^4} \, dx}{3+i \pi +\log (3)}+\frac {(2 i) \int \frac {\log (3+i \pi -x+\log (3))}{-3 i+\pi +i x-i \log (3)} \, dx}{(\pi -i (3+\log (3)))^4}-\frac {2 \int \frac {\log (3+i \pi -x+\log (3))}{x} \, dx}{(\pi -i (3+\log (3)))^4}+\frac {2 \int \frac {\log (3+i \pi -x+\log (3))}{x^3} \, dx}{(\pi -i (3+\log (3)))^2}\\ &=\frac {16}{x^4}+\frac {8}{x (3+i \pi +\log (3))^3}+\frac {8}{3 x^3 (3+i \pi +\log (3))}-\frac {4}{x^2 (\pi -i (3+\log (3)))^2}-\frac {8 \log (x)}{(\pi -i (3+\log (3)))^4}+\frac {8 \log (3+i \pi -x+\log (3))}{x^4}+\frac {2 \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^3}+\frac {2 \log (3+i \pi -x+\log (3))}{3 x^3 (3+i \pi +\log (3))}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (\pi -i (3+\log (3)))^2}-\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{x^4}+\frac {8 \log (-\pi -i x+i (3+\log (3)))}{(\pi -i (3+\log (3)))^4}+8 \int \frac {1}{x^4 (3+i \pi -x+\log (3))} \, dx+\frac {2 \int \frac {1}{x (3+i \pi -x+\log (3))} \, dx}{(3+i \pi +\log (3))^3}+\frac {2 \int \frac {1}{x^3 (3+i \pi -x+\log (3))} \, dx}{3 (3+i \pi +\log (3))}-\frac {2 \text {Subst}\left (\int \frac {\log (x)}{(3+i \pi -x+\log (3))^4} \, dx,x,3+i \pi -x+\log (3)\right )}{3+i \pi +\log (3)}-\frac {2 \text {Subst}\left (\int \frac {\log (x)}{x (3+i \pi -x+\log (3))^3} \, dx,x,3+i \pi -x+\log (3)\right )}{3+i \pi +\log (3)}-\frac {(2 i) \text {Subst}\left (\int \frac {(3+i \pi +\log (3)) \log (x)}{x (-3 i+\pi -i \log (3))} \, dx,x,3+i \pi -x+\log (3)\right )}{(\pi -i (3+\log (3)))^4}-\frac {2 \int \frac {\log \left (-\frac {x}{-3-i \pi -\log (3)}\right )}{3+i \pi -x+\log (3)} \, dx}{(\pi -i (3+\log (3)))^4}-\frac {\int \frac {1}{x^2 (3+i \pi -x+\log (3))} \, dx}{(\pi -i (3+\log (3)))^2}\\ &=\frac {16}{x^4}+\frac {8}{x (3+i \pi +\log (3))^3}+\frac {8}{3 x^3 (3+i \pi +\log (3))}-\frac {4}{x^2 (\pi -i (3+\log (3)))^2}-\frac {8 \log (x)}{(\pi -i (3+\log (3)))^4}+\frac {8 \log (3+i \pi -x+\log (3))}{x^4}+\frac {2 \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^3}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (\pi -i (3+\log (3)))^2}-\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{x^4}+\frac {8 \log (-\pi -i x+i (3+\log (3)))}{(\pi -i (3+\log (3)))^4}-\frac {2 \text {Li}_2\left (1-\frac {x}{3+i \pi +\log (3)}\right )}{(\pi -i (3+\log (3)))^4}+8 \int \left (\frac {1}{x (\pi -i (3+\log (3)))^4}-\frac {i}{(-3 i+\pi +i x-i \log (3)) (\pi -i (3+\log (3)))^4}+\frac {i}{x^2 (\pi -i (3+\log (3)))^3}-\frac {1}{x^3 (\pi -i (3+\log (3)))^2}-\frac {i}{x^4 (\pi -i (3+\log (3)))}\right ) \, dx+\frac {2 \int \frac {1}{x} \, dx}{(3+i \pi +\log (3))^4}+\frac {2 \int \frac {1}{3+i \pi -x+\log (3)} \, dx}{(3+i \pi +\log (3))^4}-\frac {2 \text {Subst}\left (\int \frac {\log (x)}{(3+i \pi -x+\log (3))^3} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^2}-\frac {2 \text {Subst}\left (\int \frac {\log (x)}{x (3+i \pi -x+\log (3))^2} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^2}+\frac {2 \int \left (\frac {i}{x (\pi -i (3+\log (3)))^3}+\frac {1}{(-3 i+\pi +i x-i \log (3)) (\pi -i (3+\log (3)))^3}-\frac {1}{x^2 (\pi -i (3+\log (3)))^2}-\frac {i}{x^3 (\pi -i (3+\log (3)))}\right ) \, dx}{3 (3+i \pi +\log (3))}+\frac {2 \text {Subst}\left (\int \frac {1}{x (3+i \pi -x+\log (3))^3} \, dx,x,3+i \pi -x+\log (3)\right )}{3 (3+i \pi +\log (3))}+\frac {2 \text {Subst}\left (\int \frac {\log (x)}{x} \, dx,x,3+i \pi -x+\log (3)\right )}{(\pi -i (3+\log (3)))^4}-\frac {\int \left (-\frac {1}{x (\pi -i (3+\log (3)))^2}+\frac {i}{(-3 i+\pi +i x-i \log (3)) (\pi -i (3+\log (3)))^2}-\frac {i}{x^2 (\pi -i (3+\log (3)))}\right ) \, dx}{(\pi -i (3+\log (3)))^2}\\ &=\frac {16}{x^4}-\frac {5}{3 x (3+i \pi +\log (3))^3}-\frac {1}{3 x^2 (3+i \pi +\log (3))^2}+\frac {8 \log (x)}{3 (3+i \pi +\log (3))^4}+\frac {\log (x)}{(\pi -i (3+\log (3)))^4}+\frac {8 \log (3+i \pi -x+\log (3))}{x^4}+\frac {2 \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^3}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (3+i \pi +\log (3))^2}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (\pi -i (3+\log (3)))^2}-\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{x^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}-\frac {8 \log (-\pi -i x+i (3+\log (3)))}{3 (3+i \pi +\log (3))^4}-\frac {\log (-\pi -i x+i (3+\log (3)))}{(\pi -i (3+\log (3)))^4}-\frac {2 \text {Li}_2\left (1-\frac {x}{3+i \pi +\log (3)}\right )}{(\pi -i (3+\log (3)))^4}-\frac {2 \text {Subst}\left (\int \frac {\log (x)}{(3+i \pi -x+\log (3))^2} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^3}-\frac {2 \text {Subst}\left (\int \frac {\log (x)}{x (3+i \pi -x+\log (3))} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^3}+\frac {\text {Subst}\left (\int \frac {1}{x (3+i \pi -x+\log (3))^2} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^2}+\frac {2 \text {Subst}\left (\int \left (\frac {i}{x (\pi -i (3+\log (3)))^3}+\frac {1}{(-3 i+\pi +i x-i \log (3)) (\pi -i (3+\log (3)))^3}+\frac {1}{(3 i-\pi -i x+i \log (3))^2 (\pi -i (3+\log (3)))^2}+\frac {1}{(-3 i+\pi +i x-i \log (3))^3 (\pi -i (3+\log (3)))}\right ) \, dx,x,3+i \pi -x+\log (3)\right )}{3 (3+i \pi +\log (3))}\\ &=\frac {16}{x^4}-\frac {1}{x (3+i \pi +\log (3))^3}+\frac {2 \log (x)}{(3+i \pi +\log (3))^4}+\frac {\log (x)}{(\pi -i (3+\log (3)))^4}+\frac {8 \log (3+i \pi -x+\log (3))}{x^4}+\frac {2 \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^3}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (3+i \pi +\log (3))^2}-\frac {2 (3+i \pi -x+\log (3)) \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^4}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (\pi -i (3+\log (3)))^2}-\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{x^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}-\frac {2 \log (-\pi -i x+i (3+\log (3)))}{(3+i \pi +\log (3))^4}-\frac {\log (-\pi -i x+i (3+\log (3)))}{(\pi -i (3+\log (3)))^4}-\frac {2 \text {Li}_2\left (1-\frac {x}{3+i \pi +\log (3)}\right )}{(\pi -i (3+\log (3)))^4}+\frac {2 \text {Subst}\left (\int \frac {1}{3+i \pi -x+\log (3)} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^4}-\frac {2 \text {Subst}\left (\int \frac {\log (x)}{x} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^4}-\frac {2 \text {Subst}\left (\int \frac {\log (x)}{3+i \pi -x+\log (3)} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^4}+\frac {\text {Subst}\left (\int \left (-\frac {1}{x (\pi -i (3+\log (3)))^2}+\frac {i}{(-3 i+\pi +i x-i \log (3)) (\pi -i (3+\log (3)))^2}+\frac {i}{(3 i-\pi -i x+i \log (3))^2 (\pi -i (3+\log (3)))}\right ) \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^2}\\ &=\frac {16}{x^4}+\frac {8 \log (3+i \pi -x+\log (3))}{x^4}+\frac {2 \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^3}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (3+i \pi +\log (3))^2}-\frac {2 (3+i \pi -x+\log (3)) \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^4}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (\pi -i (3+\log (3)))^2}+\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (3+i \pi -x+\log (3))}{(3+i \pi +\log (3))^4}-\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{x^4}-\frac {\log ^2(3+i \pi -x+\log (3))}{(3+i \pi +\log (3))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}-\frac {2 \log (-\pi -i x+i (3+\log (3)))}{(3+i \pi +\log (3))^4}-\frac {2 \text {Li}_2\left (1-\frac {x}{3+i \pi +\log (3)}\right )}{(\pi -i (3+\log (3)))^4}-\frac {2 \text {Subst}\left (\int \frac {\log \left (1-\frac {x}{3+i \pi +\log (3)}\right )}{x} \, dx,x,3+i \pi -x+\log (3)\right )}{(3+i \pi +\log (3))^4}\\ &=\frac {16}{x^4}+\frac {8 \log (3+i \pi -x+\log (3))}{x^4}+\frac {2 \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^3}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (3+i \pi +\log (3))^2}-\frac {2 (3+i \pi -x+\log (3)) \log (3+i \pi -x+\log (3))}{x (3+i \pi +\log (3))^4}-\frac {\log (3+i \pi -x+\log (3))}{x^2 (\pi -i (3+\log (3)))^2}+\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (3+i \pi -x+\log (3))}{(3+i \pi +\log (3))^4}-\frac {2 \log \left (\frac {x}{3+i \pi +\log (3)}\right ) \log (3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{x^4}-\frac {\log ^2(3+i \pi -x+\log (3))}{(3+i \pi +\log (3))^4}+\frac {\log ^2(3+i \pi -x+\log (3))}{(\pi -i (3+\log (3)))^4}-\frac {2 \log (-\pi -i x+i (3+\log (3)))}{(3+i \pi +\log (3))^4}+\frac {2 \text {Li}_2\left (1-\frac {x}{3+i \pi +\log (3)}\right )}{(3+i \pi +\log (3))^4}-\frac {2 \text {Li}_2\left (1-\frac {x}{3+i \pi +\log (3)}\right )}{(\pi -i (3+\log (3)))^4}\\ \end {aligned} \end {gather*}
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Mathematica [B] Both result and optimal contain complex but leaf count is larger than twice
the leaf count of optimal. \(73\) vs. \(2(23)=46\).
time = 0.25, size = 73, normalized size = 3.17 \begin {gather*} \frac {(4+\log (3+i \pi -x+\log (3))) (8 (\pi -i (3+\log (3)))+(2 \pi -i (6+\log (9))) \log (3+i \pi -x+\log (3)))}{2 x^4 (\pi -i (3+\log (3)))} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 1.27, size = 35, normalized size = 1.52
method | result | size |
norman | \(\frac {16+\ln \left (\ln \left (3\right )+i \pi +3-x \right )^{2}+8 \ln \left (\ln \left (3\right )+i \pi +3-x \right )}{x^{4}}\) | \(35\) |
risch | \(\frac {\ln \left (\ln \left (3\right )+i \pi +3-x \right )^{2}}{x^{4}}+\frac {8 \ln \left (\ln \left (3\right )+i \pi +3-x \right )}{x^{4}}+\frac {16}{x^{4}}\) | \(42\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [B] Both result and optimal contain complex but leaf count of result is larger than
twice the leaf count of optimal. 1585 vs. \(2 (19) = 38\).
time = 0.66, size = 1585, normalized size = 68.91 \begin {gather*} \text {Too large to display} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.32, size = 32, normalized size = 1.39 \begin {gather*} \frac {\log \left (i \, \pi - x + \log \left (3\right ) + 3\right )^{2} + 8 \, \log \left (i \, \pi - x + \log \left (3\right ) + 3\right ) + 16}{x^{4}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.56, size = 37, normalized size = 1.61 \begin {gather*} \frac {\log {\left (- x + \log {\left (3 \right )} + 3 + i \pi \right )}^{2}}{x^{4}} + \frac {8 \log {\left (- x + \log {\left (3 \right )} + 3 + i \pi \right )}}{x^{4}} + \frac {16}{x^{4}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [B] Both result and optimal contain complex but leaf count of result is larger than twice
the leaf count of optimal. 1159 vs. \(2 (19) = 38\).
time = 0.45, size = 1159, normalized size = 50.39 \begin {gather*} \text {Too large to display} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 1.67, size = 20, normalized size = 0.87 \begin {gather*} \frac {{\left (\ln \left (\ln \left (3\right )-x+3+\Pi \,1{}\mathrm {i}\right )+4\right )}^2}{x^4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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