3.55.18 \(\int \frac {-344373768+(344373768+573956280 x-229582512 x^2) \log ^2(4)+(-803538792 x+267846264 x^3-59521392 x^4) \log ^4(4)+(803538792 x^2-624974616 x^3+89282088 x^4+29760696 x^5-6613488 x^6) \log ^6(4)+(-446410440 x^3+595213920 x^4-297606960 x^5+66134880 x^6-5511240 x^7) \log ^8(4)+(148803480 x^4-267846264 x^5+198404640 x^6-77157360 x^7+16533720 x^8-1837080 x^9+81648 x^{10}) \log ^{10}(4)+(-29760696 x^5+66134880 x^6-62828136 x^7+33067440 x^8-10410120 x^9+1959552 x^{10}-204120 x^{11}+9072 x^{12}) \log ^{12}(4)+(3306744 x^6-8660520 x^7+9920232 x^8-6491016 x^9+2653560 x^{10}-694008 x^{11}+113400 x^{12}-10584 x^{13}+432 x^{14}) \log ^{14}(4)+(19683-59049 x+78732 x^2-61236 x^3+30618 x^4-10206 x^5+2268 x^6-157788 x^7+472419 x^8-629857 x^9+489888 x^{10}-244944 x^{11}+81648 x^{12}-18144 x^{13}+2592 x^{14}-216 x^{15}+8 x^{16}) \log ^{16}(4)+(1836660096+(-1607077584-2678462640 x+1071385056 x^2) \log ^2(4)+(3214155168 x-1071385056 x^3+238085568 x^4) \log ^4(4)+(-2678462640 x^2+2083248720 x^3-297606960 x^4-99202320 x^5+22044960 x^6) \log ^6(4)+(1190427840 x^3-1587237120 x^4+793618560 x^5-176359680 x^6+14696640 x^7) \log ^8(4)+(-297606960 x^4+535692528 x^5-396809280 x^6+154314720 x^7-33067440 x^8+3674160 x^9-163296 x^{10}) \log ^{10}(4)+(39680928 x^5-88179840 x^6+83770848 x^7-44089920 x^8+13880160 x^9-2612736 x^{10}+272160 x^{11}-12096 x^{12}) \log ^{12}(4)+(-2204496 x^6+5773680 x^7-6613488 x^8+4327344 x^9-1769040 x^{10}+462672 x^{11}-75600 x^{12}+7056 x^{13}-288 x^{14}) \log ^{14}(4)) \log (5)+(-4591650240+(3482001432+5803335720 x-2321334288 x^2) \log ^2(4)+(-5892617808 x+1964205936 x^3-436490208 x^4) \log ^4(4)+(4017693960 x^2-3124873080 x^3+446410440 x^4+148803480 x^5-33067440 x^6) \log ^6(4)+(-1388832480 x^3+1851776640 x^4-925888320 x^5+205752960 x^6-17146080 x^7) \log ^8(4)+(248005800 x^4-446410440 x^5+330674400 x^6-128595600 x^7+27556200 x^8-3061800 x^9+136080 x^{10}) \log ^{10}(4)+(-19840464 x^5+44089920 x^6-41885424 x^7+22044960 x^8-6940080 x^9+1306368 x^{10}-136080 x^{11}+6048 x^{12}) \log ^{12}(4)+(367416 x^6-962280 x^7+1102248 x^8-721224 x^9+294840 x^{10}-77112 x^{11}+12600 x^{12}-1176 x^{13}+48 x^{14}) \log ^{14}(4)) \log ^2(5)+(7142567040+(-4642668576-7737780960 x+3095112384 x^2) \log ^2(4)+(6547353120 x-2182451040 x^3+484989120 x^4) \log ^4(4)+(-3571283520 x^2+2777664960 x^3-396809280 x^4-132269760 x^5+29393280 x^6) \log ^6(4)+(925888320 x^3-1234517760 x^4+617258880 x^5-137168640 x^6+11430720 x^7) \log ^8(4)+(-110224800 x^4+198404640 x^5-146966400 x^6+57153600 x^7-12247200 x^8+1360800 x^9-60480 x^{10}) \log ^{10}(4)+(4408992 x^5-9797760 x^6+9307872 x^7-4898880 x^8+1542240 x^9-290304 x^{10}+30240 x^{11}-1344 x^{12}) \log ^{12}(4)) \log ^3(5)+(-7737780960+(4255779528+7092965880 x-2837186352 x^2) \log ^2(4)+(-4910514840 x+1636838280 x^3-363741840 x^4) \log ^4(4)+(2083248720 x^2-1620304560 x^3+231472080 x^4+77157360 x^5-17146080 x^6) \log ^6(4)+(-385786800 x^3+514382400 x^4-257191200 x^5+57153600 x^6-4762800 x^7) \log ^8(4)+(27556200 x^4-49601160 x^5+36741600 x^6-14288400 x^7+3061800 x^8-340200 x^9+15120 x^{10}) \log ^{10}(4)+(-367416 x^5+816480 x^6-775656 x^7+408240 x^8-128520 x^9+24192 x^{10}-2520 x^{11}+112 x^{12}) \log ^{12}(4)) \log ^4(5)+(6190224768+(-2837186352-4728643920 x+1891457568 x^2) \log ^2(4)+(2618941248 x-872980416 x^3+193995648 x^4) \log ^4(4)+(-833299488 x^2+648121824 x^3-92588832 x^4-30862944 x^5+6858432 x^6) \log ^6(4)+(102876480 x^3-137168640 x^4+68584320 x^5-15240960 x^6+1270080 x^7) \log ^8(4)+(-3674160 x^4+6613488 x^5-4898880 x^6+1905120 x^7-408240 x^8+45360 x^9-2016 x^{10}) \log ^{10}(4)) \log ^5(5)+(-3782915136+(1418593176+2364321960 x-945728784 x^2) \log ^2(4)+(-1018477152 x+339492384 x^3-75442752 x^4) \log ^4(4)+(231472080 x^2-180033840 x^3+25719120 x^4+8573040 x^5-1905120 x^6) \log ^6(4)+(-17146080 x^3+22861440 x^4-11430720 x^5+2540160 x^6-211680 x^7) \log ^8(4)+(204120 x^4-367416 x^5+272160 x^6-105840 x^7+22680 x^8-2520 x^9+112 x^{10}) \log ^{10}(4)) \log ^6(5)+(1801388160+(-540416448-900694080 x+360277632 x^2) \log ^2(4)+(290993472 x-96997824 x^3+21555072 x^4) \log ^4(4)+(-44089920 x^2+34292160 x^3-4898880 x^4-1632960 x^5+362880 x^6) \log ^6(4)+(1632960 x^3-2177280 x^4+1088640 x^5-241920 x^6+20160 x^7) \log ^8(4)) \log ^7(5)+(-675520560+(157621464+262702440 x-105080976 x^2) \log ^2(4)+(-60623640 x+20207880 x^3-4490640 x^4) \log ^4(4)+(5511240 x^2-4286520 x^3+612360 x^4+204120 x^5-45360 x^6) \log ^6(4)+(-68040 x^3+90720 x^4-45360 x^5+10080 x^6-840 x^7) \log ^8(4)) \log ^8(5)+(200154240+(-35026992-58378320 x+23351328 x^2) \log ^2(4)+(8981280 x-2993760 x^3+665280 x^4) \log ^4(4)+(-408240 x^2+317520 x^3-45360 x^4-15120 x^5+3360 x^6) \log ^6(4)) \log ^9(5)+(-46702656+(5837832+9729720 x-3891888 x^2) \log ^2(4)+(-898128 x+299376 x^3-66528 x^4) \log ^4(4)+(13608 x^2-10584 x^3+1512 x^4+504 x^5-112 x^6) \log ^6(4)) \log ^{10}(5)+(8491392+(-707616-1179360 x+471744 x^2) \log ^2(4)+(54432 x-18144 x^3+4032 x^4) \log ^4(4)) \log ^{11}(5)+(-1179360+(58968+98280 x-39312 x^2) \log ^2(4)+(-1512 x+504 x^3-112 x^4) \log ^4(4)) \log ^{12}(5)+(120960+(-3024-5040 x+2016 x^2) \log ^2(4)) \log ^{13}(5)+(-8640+(72+120 x-48 x^2) \log ^2(4)) \log ^{14}(5)+384 \log ^{15}(5)-8 \log ^{16}(5)}{(-19683+59049 x-78732 x^2+61236 x^3-30618 x^4+10206 x^5-2268 x^6+324 x^7-27 x^8+x^9) \log ^{16}(4)} \, dx\)

Optimal. Leaf size=29 \[ -x+\left (x-\frac {(3-\log (5))^2}{(3-x) \log ^2(4)}\right )^8 \]

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Rubi [B]  time = 3.18, antiderivative size = 549, normalized size of antiderivative = 18.93, number of steps used = 3, number of rules used = 2, integrand size = 2007, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.001, Rules used = {12, 2074} \begin {gather*} x^8+\frac {8 x^6 (3-\log (5))^2}{\log ^2(4)}+\frac {24 x^5 (3-\log (5))^2}{\log ^2(4)}+\frac {4 x^4 \left (18 \log ^2(4)+7 (3-\log (5))^2\right ) (3-\log (5))^2}{\log ^4(4)}+\frac {24 x^3 \left (9 \log ^2(4)+7 (3-\log (5))^2\right ) (3-\log (5))^2}{\log ^4(4)}+\frac {4 x^2 \left (162 \log ^4(4)+189 \log ^2(4) (3-\log (5))^2+14 (3-\log (5))^4\right ) (3-\log (5))^2}{\log ^6(4)}+\frac {(3-\log (5))^{16}}{(3-x)^8 \log ^{16}(4)}-\frac {24 (3-\log (5))^{14}}{(3-x)^7 \log ^{14}(4)}+\frac {4 \left (63 \log ^2(4)+2 (3-\log (5))^2\right ) (3-\log (5))^{12}}{(3-x)^6 \log ^{14}(4)}-\frac {168 \left (9 \log ^2(4)+(\log (5)-3)^2\right ) (3-\log (5))^{10}}{(3-x)^5 \log ^{12}(4)}+\frac {14 \left (405 \log ^4(4)+108 \log ^2(4) (3-\log (5))^2+2 (3-\log (5))^4\right ) (3-\log (5))^8}{(3-x)^4 \log ^{12}(4)}-\frac {504 \left (27 \log ^4(4)+15 \log ^2(4) (3-\log (5))^2+(\log (5)-3)^4\right ) (3-\log (5))^6}{(3-x)^3 \log ^{10}(4)}-\frac {x \left (\log ^6(4)-1944 \log ^4(4) (3-\log (5))^2-3024 \log ^2(4) (3-\log (5))^4-504 (3-\log (5))^6\right )}{\log ^6(4)}+\frac {28 \left (729 \log ^6(4)+810 \log ^4(4) (3-\log (5))^2+135 \log ^2(4) (3-\log (5))^4+2 (3-\log (5))^6\right ) (3-\log (5))^4}{(3-x)^2 \log ^{10}(4)}-\frac {24 \left (729 \log ^6(4)+1701 \log ^4(4) (3-\log (5))^2+630 \log ^2(4) (3-\log (5))^4+35 (3-\log (5))^6\right ) (3-\log (5))^2}{(3-x) \log ^8(4)} \end {gather*}

Antiderivative was successfully verified.

[In]

Int[(-344373768 + (344373768 + 573956280*x - 229582512*x^2)*Log[4]^2 + (-803538792*x + 267846264*x^3 - 5952139
2*x^4)*Log[4]^4 + (803538792*x^2 - 624974616*x^3 + 89282088*x^4 + 29760696*x^5 - 6613488*x^6)*Log[4]^6 + (-446
410440*x^3 + 595213920*x^4 - 297606960*x^5 + 66134880*x^6 - 5511240*x^7)*Log[4]^8 + (148803480*x^4 - 267846264
*x^5 + 198404640*x^6 - 77157360*x^7 + 16533720*x^8 - 1837080*x^9 + 81648*x^10)*Log[4]^10 + (-29760696*x^5 + 66
134880*x^6 - 62828136*x^7 + 33067440*x^8 - 10410120*x^9 + 1959552*x^10 - 204120*x^11 + 9072*x^12)*Log[4]^12 +
(3306744*x^6 - 8660520*x^7 + 9920232*x^8 - 6491016*x^9 + 2653560*x^10 - 694008*x^11 + 113400*x^12 - 10584*x^13
+ 432*x^14)*Log[4]^14 + (19683 - 59049*x + 78732*x^2 - 61236*x^3 + 30618*x^4 - 10206*x^5 + 2268*x^6 - 157788*
x^7 + 472419*x^8 - 629857*x^9 + 489888*x^10 - 244944*x^11 + 81648*x^12 - 18144*x^13 + 2592*x^14 - 216*x^15 + 8
*x^16)*Log[4]^16 + (1836660096 + (-1607077584 - 2678462640*x + 1071385056*x^2)*Log[4]^2 + (3214155168*x - 1071
385056*x^3 + 238085568*x^4)*Log[4]^4 + (-2678462640*x^2 + 2083248720*x^3 - 297606960*x^4 - 99202320*x^5 + 2204
4960*x^6)*Log[4]^6 + (1190427840*x^3 - 1587237120*x^4 + 793618560*x^5 - 176359680*x^6 + 14696640*x^7)*Log[4]^8
+ (-297606960*x^4 + 535692528*x^5 - 396809280*x^6 + 154314720*x^7 - 33067440*x^8 + 3674160*x^9 - 163296*x^10)
*Log[4]^10 + (39680928*x^5 - 88179840*x^6 + 83770848*x^7 - 44089920*x^8 + 13880160*x^9 - 2612736*x^10 + 272160
*x^11 - 12096*x^12)*Log[4]^12 + (-2204496*x^6 + 5773680*x^7 - 6613488*x^8 + 4327344*x^9 - 1769040*x^10 + 46267
2*x^11 - 75600*x^12 + 7056*x^13 - 288*x^14)*Log[4]^14)*Log[5] + (-4591650240 + (3482001432 + 5803335720*x - 23
21334288*x^2)*Log[4]^2 + (-5892617808*x + 1964205936*x^3 - 436490208*x^4)*Log[4]^4 + (4017693960*x^2 - 3124873
080*x^3 + 446410440*x^4 + 148803480*x^5 - 33067440*x^6)*Log[4]^6 + (-1388832480*x^3 + 1851776640*x^4 - 9258883
20*x^5 + 205752960*x^6 - 17146080*x^7)*Log[4]^8 + (248005800*x^4 - 446410440*x^5 + 330674400*x^6 - 128595600*x
^7 + 27556200*x^8 - 3061800*x^9 + 136080*x^10)*Log[4]^10 + (-19840464*x^5 + 44089920*x^6 - 41885424*x^7 + 2204
4960*x^8 - 6940080*x^9 + 1306368*x^10 - 136080*x^11 + 6048*x^12)*Log[4]^12 + (367416*x^6 - 962280*x^7 + 110224
8*x^8 - 721224*x^9 + 294840*x^10 - 77112*x^11 + 12600*x^12 - 1176*x^13 + 48*x^14)*Log[4]^14)*Log[5]^2 + (71425
67040 + (-4642668576 - 7737780960*x + 3095112384*x^2)*Log[4]^2 + (6547353120*x - 2182451040*x^3 + 484989120*x^
4)*Log[4]^4 + (-3571283520*x^2 + 2777664960*x^3 - 396809280*x^4 - 132269760*x^5 + 29393280*x^6)*Log[4]^6 + (92
5888320*x^3 - 1234517760*x^4 + 617258880*x^5 - 137168640*x^6 + 11430720*x^7)*Log[4]^8 + (-110224800*x^4 + 1984
04640*x^5 - 146966400*x^6 + 57153600*x^7 - 12247200*x^8 + 1360800*x^9 - 60480*x^10)*Log[4]^10 + (4408992*x^5 -
9797760*x^6 + 9307872*x^7 - 4898880*x^8 + 1542240*x^9 - 290304*x^10 + 30240*x^11 - 1344*x^12)*Log[4]^12)*Log[
5]^3 + (-7737780960 + (4255779528 + 7092965880*x - 2837186352*x^2)*Log[4]^2 + (-4910514840*x + 1636838280*x^3
- 363741840*x^4)*Log[4]^4 + (2083248720*x^2 - 1620304560*x^3 + 231472080*x^4 + 77157360*x^5 - 17146080*x^6)*Lo
g[4]^6 + (-385786800*x^3 + 514382400*x^4 - 257191200*x^5 + 57153600*x^6 - 4762800*x^7)*Log[4]^8 + (27556200*x^
4 - 49601160*x^5 + 36741600*x^6 - 14288400*x^7 + 3061800*x^8 - 340200*x^9 + 15120*x^10)*Log[4]^10 + (-367416*x
^5 + 816480*x^6 - 775656*x^7 + 408240*x^8 - 128520*x^9 + 24192*x^10 - 2520*x^11 + 112*x^12)*Log[4]^12)*Log[5]^
4 + (6190224768 + (-2837186352 - 4728643920*x + 1891457568*x^2)*Log[4]^2 + (2618941248*x - 872980416*x^3 + 193
995648*x^4)*Log[4]^4 + (-833299488*x^2 + 648121824*x^3 - 92588832*x^4 - 30862944*x^5 + 6858432*x^6)*Log[4]^6 +
(102876480*x^3 - 137168640*x^4 + 68584320*x^5 - 15240960*x^6 + 1270080*x^7)*Log[4]^8 + (-3674160*x^4 + 661348
8*x^5 - 4898880*x^6 + 1905120*x^7 - 408240*x^8 + 45360*x^9 - 2016*x^10)*Log[4]^10)*Log[5]^5 + (-3782915136 + (
1418593176 + 2364321960*x - 945728784*x^2)*Log[4]^2 + (-1018477152*x + 339492384*x^3 - 75442752*x^4)*Log[4]^4
+ (231472080*x^2 - 180033840*x^3 + 25719120*x^4 + 8573040*x^5 - 1905120*x^6)*Log[4]^6 + (-17146080*x^3 + 22861
440*x^4 - 11430720*x^5 + 2540160*x^6 - 211680*x^7)*Log[4]^8 + (204120*x^4 - 367416*x^5 + 272160*x^6 - 105840*x
^7 + 22680*x^8 - 2520*x^9 + 112*x^10)*Log[4]^10)*Log[5]^6 + (1801388160 + (-540416448 - 900694080*x + 36027763
2*x^2)*Log[4]^2 + (290993472*x - 96997824*x^3 + 21555072*x^4)*Log[4]^4 + (-44089920*x^2 + 34292160*x^3 - 48988
80*x^4 - 1632960*x^5 + 362880*x^6)*Log[4]^6 + (1632960*x^3 - 2177280*x^4 + 1088640*x^5 - 241920*x^6 + 20160*x^
7)*Log[4]^8)*Log[5]^7 + (-675520560 + (157621464 + 262702440*x - 105080976*x^2)*Log[4]^2 + (-60623640*x + 2020
7880*x^3 - 4490640*x^4)*Log[4]^4 + (5511240*x^2 - 4286520*x^3 + 612360*x^4 + 204120*x^5 - 45360*x^6)*Log[4]^6
+ (-68040*x^3 + 90720*x^4 - 45360*x^5 + 10080*x^6 - 840*x^7)*Log[4]^8)*Log[5]^8 + (200154240 + (-35026992 - 58
378320*x + 23351328*x^2)*Log[4]^2 + (8981280*x - 2993760*x^3 + 665280*x^4)*Log[4]^4 + (-408240*x^2 + 317520*x^
3 - 45360*x^4 - 15120*x^5 + 3360*x^6)*Log[4]^6)*Log[5]^9 + (-46702656 + (5837832 + 9729720*x - 3891888*x^2)*Lo
g[4]^2 + (-898128*x + 299376*x^3 - 66528*x^4)*Log[4]^4 + (13608*x^2 - 10584*x^3 + 1512*x^4 + 504*x^5 - 112*x^6
)*Log[4]^6)*Log[5]^10 + (8491392 + (-707616 - 1179360*x + 471744*x^2)*Log[4]^2 + (54432*x - 18144*x^3 + 4032*x
^4)*Log[4]^4)*Log[5]^11 + (-1179360 + (58968 + 98280*x - 39312*x^2)*Log[4]^2 + (-1512*x + 504*x^3 - 112*x^4)*L
og[4]^4)*Log[5]^12 + (120960 + (-3024 - 5040*x + 2016*x^2)*Log[4]^2)*Log[5]^13 + (-8640 + (72 + 120*x - 48*x^2
)*Log[4]^2)*Log[5]^14 + 384*Log[5]^15 - 8*Log[5]^16)/((-19683 + 59049*x - 78732*x^2 + 61236*x^3 - 30618*x^4 +
10206*x^5 - 2268*x^6 + 324*x^7 - 27*x^8 + x^9)*Log[4]^16),x]

[Out]

x^8 - (x*(Log[4]^6 - 1944*Log[4]^4*(3 - Log[5])^2 - 3024*Log[4]^2*(3 - Log[5])^4 - 504*(3 - Log[5])^6))/Log[4]
^6 + (24*x^5*(3 - Log[5])^2)/Log[4]^2 + (8*x^6*(3 - Log[5])^2)/Log[4]^2 + (24*x^3*(9*Log[4]^2 + 7*(3 - Log[5])
^2)*(3 - Log[5])^2)/Log[4]^4 + (4*x^4*(18*Log[4]^2 + 7*(3 - Log[5])^2)*(3 - Log[5])^2)/Log[4]^4 + (4*x^2*(162*
Log[4]^4 + 189*Log[4]^2*(3 - Log[5])^2 + 14*(3 - Log[5])^4)*(3 - Log[5])^2)/Log[4]^6 - (24*(729*Log[4]^6 + 170
1*Log[4]^4*(3 - Log[5])^2 + 630*Log[4]^2*(3 - Log[5])^4 + 35*(3 - Log[5])^6)*(3 - Log[5])^2)/((3 - x)*Log[4]^8
) + (28*(729*Log[4]^6 + 810*Log[4]^4*(3 - Log[5])^2 + 135*Log[4]^2*(3 - Log[5])^4 + 2*(3 - Log[5])^6)*(3 - Log
[5])^4)/((3 - x)^2*Log[4]^10) - (504*(27*Log[4]^4 + 15*Log[4]^2*(3 - Log[5])^2 + (-3 + Log[5])^4)*(3 - Log[5])
^6)/((3 - x)^3*Log[4]^10) + (14*(405*Log[4]^4 + 108*Log[4]^2*(3 - Log[5])^2 + 2*(3 - Log[5])^4)*(3 - Log[5])^8
)/((3 - x)^4*Log[4]^12) - (168*(9*Log[4]^2 + (-3 + Log[5])^2)*(3 - Log[5])^10)/((3 - x)^5*Log[4]^12) + (4*(63*
Log[4]^2 + 2*(3 - Log[5])^2)*(3 - Log[5])^12)/((3 - x)^6*Log[4]^14) - (24*(3 - Log[5])^14)/((3 - x)^7*Log[4]^1
4) + (3 - Log[5])^16/((3 - x)^8*Log[4]^16)

Rule 12

Int[(a_)*(u_), x_Symbol] :> Dist[a, Int[u, x], x] /; FreeQ[a, x] &&  !MatchQ[u, (b_)*(v_) /; FreeQ[b, x]]

Rule 2074

Int[(P_)^(p_)*(Q_)^(q_.), x_Symbol] :> With[{PP = Factor[P]}, Int[ExpandIntegrand[PP^p*Q^q, x], x] /;  !SumQ[N
onfreeFactors[PP, x]]] /; FreeQ[q, x] && PolyQ[P, x] && PolyQ[Q, x] && IntegerQ[p] && NeQ[P, x]

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} \end {aligned} \end {gather*}

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Mathematica [B]  time = 0.95, size = 479, normalized size = 16.52 \begin {gather*} \frac {x^8 \log ^{16}(4)-x \log ^{10}(4) \left (\log ^6(4)-1944 \log ^4(4) (-3+\log (5))^2-3024 \log ^2(4) (-3+\log (5))^4-504 (-3+\log (5))^6\right )+24 x^5 \log ^{14}(4) (-3+\log (5))^2+8 x^6 \log ^{14}(4) (-3+\log (5))^2+24 x^3 \log ^{12}(4) \left (9 \log ^2(4)+7 (-3+\log (5))^2\right ) (-3+\log (5))^2+4 x^4 \log ^{12}(4) \left (18 \log ^2(4)+7 (-3+\log (5))^2\right ) (-3+\log (5))^2+4 x^2 \log ^{10}(4) \left (162 \log ^4(4)+189 \log ^2(4) (-3+\log (5))^2+14 (-3+\log (5))^4\right ) (-3+\log (5))^2+\frac {24 \log ^8(4) \left (729 \log ^6(4)+1701 \log ^4(4) (-3+\log (5))^2+630 \log ^2(4) (-3+\log (5))^4+35 (-3+\log (5))^6\right ) (-3+\log (5))^2}{-3+x}+\frac {28 \log ^6(4) \left (729 \log ^6(4)+810 \log ^4(4) (-3+\log (5))^2+135 \log ^2(4) (-3+\log (5))^4+2 (-3+\log (5))^6\right ) (-3+\log (5))^4}{(-3+x)^2}+\frac {504 \log ^6(4) \left (27 \log ^4(4)+15 \log ^2(4) (-3+\log (5))^2+(-3+\log (5))^4\right ) (-3+\log (5))^6}{(-3+x)^3}+\frac {14 \log ^4(4) \left (405 \log ^4(4)+108 \log ^2(4) (-3+\log (5))^2+2 (-3+\log (5))^4\right ) (-3+\log (5))^8}{(-3+x)^4}+\frac {168 \log ^4(4) \left (9 \log ^2(4)+(-3+\log (5))^2\right ) (-3+\log (5))^{10}}{(-3+x)^5}+\frac {4 \log ^2(4) \left (63 \log ^2(4)+2 (-3+\log (5))^2\right ) (-3+\log (5))^{12}}{(-3+x)^6}+\frac {24 \log ^2(4) (-3+\log (5))^{14}}{(-3+x)^7}+\frac {(-3+\log (5))^{16}}{(-3+x)^8}}{\log ^{16}(4)} \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[(-344373768 + (344373768 + 573956280*x - 229582512*x^2)*Log[4]^2 + (-803538792*x + 267846264*x^3 - 5
9521392*x^4)*Log[4]^4 + (803538792*x^2 - 624974616*x^3 + 89282088*x^4 + 29760696*x^5 - 6613488*x^6)*Log[4]^6 +
(-446410440*x^3 + 595213920*x^4 - 297606960*x^5 + 66134880*x^6 - 5511240*x^7)*Log[4]^8 + (148803480*x^4 - 267
846264*x^5 + 198404640*x^6 - 77157360*x^7 + 16533720*x^8 - 1837080*x^9 + 81648*x^10)*Log[4]^10 + (-29760696*x^
5 + 66134880*x^6 - 62828136*x^7 + 33067440*x^8 - 10410120*x^9 + 1959552*x^10 - 204120*x^11 + 9072*x^12)*Log[4]
^12 + (3306744*x^6 - 8660520*x^7 + 9920232*x^8 - 6491016*x^9 + 2653560*x^10 - 694008*x^11 + 113400*x^12 - 1058
4*x^13 + 432*x^14)*Log[4]^14 + (19683 - 59049*x + 78732*x^2 - 61236*x^3 + 30618*x^4 - 10206*x^5 + 2268*x^6 - 1
57788*x^7 + 472419*x^8 - 629857*x^9 + 489888*x^10 - 244944*x^11 + 81648*x^12 - 18144*x^13 + 2592*x^14 - 216*x^
15 + 8*x^16)*Log[4]^16 + (1836660096 + (-1607077584 - 2678462640*x + 1071385056*x^2)*Log[4]^2 + (3214155168*x
- 1071385056*x^3 + 238085568*x^4)*Log[4]^4 + (-2678462640*x^2 + 2083248720*x^3 - 297606960*x^4 - 99202320*x^5
+ 22044960*x^6)*Log[4]^6 + (1190427840*x^3 - 1587237120*x^4 + 793618560*x^5 - 176359680*x^6 + 14696640*x^7)*Lo
g[4]^8 + (-297606960*x^4 + 535692528*x^5 - 396809280*x^6 + 154314720*x^7 - 33067440*x^8 + 3674160*x^9 - 163296
*x^10)*Log[4]^10 + (39680928*x^5 - 88179840*x^6 + 83770848*x^7 - 44089920*x^8 + 13880160*x^9 - 2612736*x^10 +
272160*x^11 - 12096*x^12)*Log[4]^12 + (-2204496*x^6 + 5773680*x^7 - 6613488*x^8 + 4327344*x^9 - 1769040*x^10 +
462672*x^11 - 75600*x^12 + 7056*x^13 - 288*x^14)*Log[4]^14)*Log[5] + (-4591650240 + (3482001432 + 5803335720*
x - 2321334288*x^2)*Log[4]^2 + (-5892617808*x + 1964205936*x^3 - 436490208*x^4)*Log[4]^4 + (4017693960*x^2 - 3
124873080*x^3 + 446410440*x^4 + 148803480*x^5 - 33067440*x^6)*Log[4]^6 + (-1388832480*x^3 + 1851776640*x^4 - 9
25888320*x^5 + 205752960*x^6 - 17146080*x^7)*Log[4]^8 + (248005800*x^4 - 446410440*x^5 + 330674400*x^6 - 12859
5600*x^7 + 27556200*x^8 - 3061800*x^9 + 136080*x^10)*Log[4]^10 + (-19840464*x^5 + 44089920*x^6 - 41885424*x^7
+ 22044960*x^8 - 6940080*x^9 + 1306368*x^10 - 136080*x^11 + 6048*x^12)*Log[4]^12 + (367416*x^6 - 962280*x^7 +
1102248*x^8 - 721224*x^9 + 294840*x^10 - 77112*x^11 + 12600*x^12 - 1176*x^13 + 48*x^14)*Log[4]^14)*Log[5]^2 +
(7142567040 + (-4642668576 - 7737780960*x + 3095112384*x^2)*Log[4]^2 + (6547353120*x - 2182451040*x^3 + 484989
120*x^4)*Log[4]^4 + (-3571283520*x^2 + 2777664960*x^3 - 396809280*x^4 - 132269760*x^5 + 29393280*x^6)*Log[4]^6
+ (925888320*x^3 - 1234517760*x^4 + 617258880*x^5 - 137168640*x^6 + 11430720*x^7)*Log[4]^8 + (-110224800*x^4
+ 198404640*x^5 - 146966400*x^6 + 57153600*x^7 - 12247200*x^8 + 1360800*x^9 - 60480*x^10)*Log[4]^10 + (4408992
*x^5 - 9797760*x^6 + 9307872*x^7 - 4898880*x^8 + 1542240*x^9 - 290304*x^10 + 30240*x^11 - 1344*x^12)*Log[4]^12
)*Log[5]^3 + (-7737780960 + (4255779528 + 7092965880*x - 2837186352*x^2)*Log[4]^2 + (-4910514840*x + 163683828
0*x^3 - 363741840*x^4)*Log[4]^4 + (2083248720*x^2 - 1620304560*x^3 + 231472080*x^4 + 77157360*x^5 - 17146080*x
^6)*Log[4]^6 + (-385786800*x^3 + 514382400*x^4 - 257191200*x^5 + 57153600*x^6 - 4762800*x^7)*Log[4]^8 + (27556
200*x^4 - 49601160*x^5 + 36741600*x^6 - 14288400*x^7 + 3061800*x^8 - 340200*x^9 + 15120*x^10)*Log[4]^10 + (-36
7416*x^5 + 816480*x^6 - 775656*x^7 + 408240*x^8 - 128520*x^9 + 24192*x^10 - 2520*x^11 + 112*x^12)*Log[4]^12)*L
og[5]^4 + (6190224768 + (-2837186352 - 4728643920*x + 1891457568*x^2)*Log[4]^2 + (2618941248*x - 872980416*x^3
+ 193995648*x^4)*Log[4]^4 + (-833299488*x^2 + 648121824*x^3 - 92588832*x^4 - 30862944*x^5 + 6858432*x^6)*Log[
4]^6 + (102876480*x^3 - 137168640*x^4 + 68584320*x^5 - 15240960*x^6 + 1270080*x^7)*Log[4]^8 + (-3674160*x^4 +
6613488*x^5 - 4898880*x^6 + 1905120*x^7 - 408240*x^8 + 45360*x^9 - 2016*x^10)*Log[4]^10)*Log[5]^5 + (-37829151
36 + (1418593176 + 2364321960*x - 945728784*x^2)*Log[4]^2 + (-1018477152*x + 339492384*x^3 - 75442752*x^4)*Log
[4]^4 + (231472080*x^2 - 180033840*x^3 + 25719120*x^4 + 8573040*x^5 - 1905120*x^6)*Log[4]^6 + (-17146080*x^3 +
22861440*x^4 - 11430720*x^5 + 2540160*x^6 - 211680*x^7)*Log[4]^8 + (204120*x^4 - 367416*x^5 + 272160*x^6 - 10
5840*x^7 + 22680*x^8 - 2520*x^9 + 112*x^10)*Log[4]^10)*Log[5]^6 + (1801388160 + (-540416448 - 900694080*x + 36
0277632*x^2)*Log[4]^2 + (290993472*x - 96997824*x^3 + 21555072*x^4)*Log[4]^4 + (-44089920*x^2 + 34292160*x^3 -
4898880*x^4 - 1632960*x^5 + 362880*x^6)*Log[4]^6 + (1632960*x^3 - 2177280*x^4 + 1088640*x^5 - 241920*x^6 + 20
160*x^7)*Log[4]^8)*Log[5]^7 + (-675520560 + (157621464 + 262702440*x - 105080976*x^2)*Log[4]^2 + (-60623640*x
+ 20207880*x^3 - 4490640*x^4)*Log[4]^4 + (5511240*x^2 - 4286520*x^3 + 612360*x^4 + 204120*x^5 - 45360*x^6)*Log
[4]^6 + (-68040*x^3 + 90720*x^4 - 45360*x^5 + 10080*x^6 - 840*x^7)*Log[4]^8)*Log[5]^8 + (200154240 + (-3502699
2 - 58378320*x + 23351328*x^2)*Log[4]^2 + (8981280*x - 2993760*x^3 + 665280*x^4)*Log[4]^4 + (-408240*x^2 + 317
520*x^3 - 45360*x^4 - 15120*x^5 + 3360*x^6)*Log[4]^6)*Log[5]^9 + (-46702656 + (5837832 + 9729720*x - 3891888*x
^2)*Log[4]^2 + (-898128*x + 299376*x^3 - 66528*x^4)*Log[4]^4 + (13608*x^2 - 10584*x^3 + 1512*x^4 + 504*x^5 - 1
12*x^6)*Log[4]^6)*Log[5]^10 + (8491392 + (-707616 - 1179360*x + 471744*x^2)*Log[4]^2 + (54432*x - 18144*x^3 +
4032*x^4)*Log[4]^4)*Log[5]^11 + (-1179360 + (58968 + 98280*x - 39312*x^2)*Log[4]^2 + (-1512*x + 504*x^3 - 112*
x^4)*Log[4]^4)*Log[5]^12 + (120960 + (-3024 - 5040*x + 2016*x^2)*Log[4]^2)*Log[5]^13 + (-8640 + (72 + 120*x -
48*x^2)*Log[4]^2)*Log[5]^14 + 384*Log[5]^15 - 8*Log[5]^16)/((-19683 + 59049*x - 78732*x^2 + 61236*x^3 - 30618*
x^4 + 10206*x^5 - 2268*x^6 + 324*x^7 - 27*x^8 + x^9)*Log[4]^16),x]

[Out]

(x^8*Log[4]^16 - x*Log[4]^10*(Log[4]^6 - 1944*Log[4]^4*(-3 + Log[5])^2 - 3024*Log[4]^2*(-3 + Log[5])^4 - 504*(
-3 + Log[5])^6) + 24*x^5*Log[4]^14*(-3 + Log[5])^2 + 8*x^6*Log[4]^14*(-3 + Log[5])^2 + 24*x^3*Log[4]^12*(9*Log
[4]^2 + 7*(-3 + Log[5])^2)*(-3 + Log[5])^2 + 4*x^4*Log[4]^12*(18*Log[4]^2 + 7*(-3 + Log[5])^2)*(-3 + Log[5])^2
+ 4*x^2*Log[4]^10*(162*Log[4]^4 + 189*Log[4]^2*(-3 + Log[5])^2 + 14*(-3 + Log[5])^4)*(-3 + Log[5])^2 + (24*Lo
g[4]^8*(729*Log[4]^6 + 1701*Log[4]^4*(-3 + Log[5])^2 + 630*Log[4]^2*(-3 + Log[5])^4 + 35*(-3 + Log[5])^6)*(-3
+ Log[5])^2)/(-3 + x) + (28*Log[4]^6*(729*Log[4]^6 + 810*Log[4]^4*(-3 + Log[5])^2 + 135*Log[4]^2*(-3 + Log[5])
^4 + 2*(-3 + Log[5])^6)*(-3 + Log[5])^4)/(-3 + x)^2 + (504*Log[4]^6*(27*Log[4]^4 + 15*Log[4]^2*(-3 + Log[5])^2
+ (-3 + Log[5])^4)*(-3 + Log[5])^6)/(-3 + x)^3 + (14*Log[4]^4*(405*Log[4]^4 + 108*Log[4]^2*(-3 + Log[5])^2 +
2*(-3 + Log[5])^4)*(-3 + Log[5])^8)/(-3 + x)^4 + (168*Log[4]^4*(9*Log[4]^2 + (-3 + Log[5])^2)*(-3 + Log[5])^10
)/(-3 + x)^5 + (4*Log[4]^2*(63*Log[4]^2 + 2*(-3 + Log[5])^2)*(-3 + Log[5])^12)/(-3 + x)^6 + (24*Log[4]^2*(-3 +
Log[5])^14)/(-3 + x)^7 + (-3 + Log[5])^16/(-3 + x)^8)/Log[4]^16

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fricas [B]  time = 0.85, size = 2270, normalized size = 78.28 result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/65536*(-344373768+65536*(8*x^16-216*x^15+2592*x^14-18144*x^13+81648*x^12-244944*x^11+489888*x^10-6
29857*x^9+472419*x^8-157788*x^7+2268*x^6-10206*x^5+30618*x^4-61236*x^3+78732*x^2-59049*x+19683)*log(2)^16+1638
4*(432*x^14-10584*x^13+113400*x^12-694008*x^11+2653560*x^10-6491016*x^9+9920232*x^8-8660520*x^7+3306744*x^6)*l
og(2)^14+4096*(9072*x^12-204120*x^11+1959552*x^10-10410120*x^9+33067440*x^8-62828136*x^7+66134880*x^6-29760696
*x^5)*log(2)^12+1024*(81648*x^10-1837080*x^9+16533720*x^8-77157360*x^7+198404640*x^6-267846264*x^5+148803480*x
^4)*log(2)^10+256*(-5511240*x^7+66134880*x^6-297606960*x^5+595213920*x^4-446410440*x^3)*log(2)^8+64*(-6613488*
x^6+29760696*x^5+89282088*x^4-624974616*x^3+803538792*x^2)*log(2)^6+16*(-59521392*x^4+267846264*x^3-803538792*
x)*log(2)^4+4*(-229582512*x^2+573956280*x+344373768)*log(2)^2+(4096*(112*x^12-2520*x^11+24192*x^10-128520*x^9+
408240*x^8-775656*x^7+816480*x^6-367416*x^5)*log(2)^12+1024*(15120*x^10-340200*x^9+3061800*x^8-14288400*x^7+36
741600*x^6-49601160*x^5+27556200*x^4)*log(2)^10+256*(-4762800*x^7+57153600*x^6-257191200*x^5+514382400*x^4-385
786800*x^3)*log(2)^8+64*(-17146080*x^6+77157360*x^5+231472080*x^4-1620304560*x^3+2083248720*x^2)*log(2)^6+16*(
-363741840*x^4+1636838280*x^3-4910514840*x)*log(2)^4+4*(-2837186352*x^2+7092965880*x+4255779528)*log(2)^2-7737
780960)*log(5)^4+(4096*(-1344*x^12+30240*x^11-290304*x^10+1542240*x^9-4898880*x^8+9307872*x^7-9797760*x^6+4408
992*x^5)*log(2)^12+1024*(-60480*x^10+1360800*x^9-12247200*x^8+57153600*x^7-146966400*x^6+198404640*x^5-1102248
00*x^4)*log(2)^10+256*(11430720*x^7-137168640*x^6+617258880*x^5-1234517760*x^4+925888320*x^3)*log(2)^8+64*(293
93280*x^6-132269760*x^5-396809280*x^4+2777664960*x^3-3571283520*x^2)*log(2)^6+16*(484989120*x^4-2182451040*x^3
[phone]*x)*log(2)^4+4*(3095112384*x^2-7737780960*x-4642668576)*log(2)^2+7142567040)*log(5)^3+(16384*(48*x^
14-1176*x^13+12600*x^12-77112*x^11+294840*x^10-721224*x^9+1102248*x^8-962280*x^7+367416*x^6)*log(2)^14+4096*(6
048*x^12-136080*x^11+1306368*x^10-6940080*x^9+22044960*x^8-41885424*x^7+44089920*x^6-19840464*x^5)*log(2)^12+1
024*(136080*x^10-3061800*x^9+27556200*x^8-128595600*x^7+330674400*x^6-446410440*x^5+248005800*x^4)*log(2)^10+2
56*(-17146080*x^7+205752960*x^6-925888320*x^5+1851776640*x^4-1388832480*x^3)*log(2)^8+64*(-33067440*x^6+148803
480*x^5+446410440*x^4-3124873080*x^3+4017693960*x^2)*log(2)^6+16*(-436490208*x^4+1964205936*x^3-5892617808*x)*
log(2)^4+4*(-2321334288*x^2+5803335720*x+3482001432)*log(2)^2-4591650240)*log(5)^2+(256*(20160*x^7-241920*x^6+
1088640*x^5-2177280*x^4+1632960*x^3)*log(2)^8+64*(362880*x^6-1632960*x^5-4898880*x^4+34292160*x^3-44089920*x^2
)*log(2)^6+16*(21555072*x^4-96997824*x^3+290993472*x)*log(2)^4+4*(360277632*x^2-900694080*x-540416448)*log(2)^
2+1801388160)*log(5)^7+(16384*(-288*x^14+7056*x^13-75600*x^12+462672*x^11-1769040*x^10+4327344*x^9-6613488*x^8
+5773680*x^7-2204496*x^6)*log(2)^14+4096*(-12096*x^12+272160*x^11-2612736*x^10+13880160*x^9-44089920*x^8+83770
848*x^7-88179840*x^6+39680928*x^5)*log(2)^12+1024*(-163296*x^10+3674160*x^9-33067440*x^8+154314720*x^7-3968092
80*x^6+535692528*x^5-297606960*x^4)*log(2)^10+256*(14696640*x^7-176359680*x^6+793618560*x^5-1587237120*x^4+119
0427840*x^3)*log(2)^8+64*(22044960*x^6-99202320*x^5-297606960*x^4+2083248720*x^3-2678462640*x^2)*log(2)^6+16*(
238085568*x^4-1071385056*x^3+3214155168*x)*log(2)^4+4*(1071385056*x^2-2678462640*x-1607077584)*log(2)^2+183666
0096)*log(5)+(1024*(112*x^10-2520*x^9+22680*x^8-105840*x^7+272160*x^6-367416*x^5+204120*x^4)*log(2)^10+256*(-2
11680*x^7+2540160*x^6-11430720*x^5+22861440*x^4-17146080*x^3)*log(2)^8+64*(-1905120*x^6+8573040*x^5+25719120*x
^4-180033840*x^3+231472080*x^2)*log(2)^6+16*(-75442752*x^4+339492384*x^3-1018477152*x)*log(2)^4+4*(-945728784*
x^2+2364321960*x+1418593176)*log(2)^2-3782915136)*log(5)^6+(1024*(-2016*x^10+45360*x^9-408240*x^8+1905120*x^7-
4898880*x^6+6613488*x^5-3674160*x^4)*log(2)^10+256*(1270080*x^7-15240960*x^6+68584320*x^5-137168640*x^4+102876
480*x^3)*log(2)^8+64*(6858432*x^6-30862944*x^5-92588832*x^4+648121824*x^3-833299488*x^2)*log(2)^6+16*(19399564
8*x^4-872980416*x^3+2618941248*x)*log(2)^4+4*(1891457568*x^2-4728643920*x-2837186352)*log(2)^2+6190224768)*log
(5)^5+(4*(-48*x^2+120*x+72)*log(2)^2-8640)*log(5)^14+(4*(2016*x^2-5040*x-3024)*log(2)^2+120960)*log(5)^13+(16*
(-112*x^4+504*x^3-1512*x)*log(2)^4+4*(-39312*x^2+98280*x+58968)*log(2)^2-1179360)*log(5)^12+(16*(4032*x^4-1814
4*x^3+54432*x)*log(2)^4+4*(471744*x^2-1179360*x-707616)*log(2)^2+8491392)*log(5)^11+(64*(-112*x^6+504*x^5+1512
*x^4-10584*x^3+13608*x^2)*log(2)^6+16*(-66528*x^4+299376*x^3-898128*x)*log(2)^4+4*(-3891888*x^2+9729720*x+5837
832)*log(2)^2-46702656)*log(5)^10+(64*(3360*x^6-15120*x^5-45360*x^4+317520*x^3-408240*x^2)*log(2)^6+16*(665280
*x^4-2993760*x^3+8981280*x)*log(2)^4+4*(23351328*x^2-58378320*x-35026992)*log(2)^2+200154240)*log(5)^9+(256*(-
840*x^7+10080*x^6-45360*x^5+90720*x^4-68040*x^3)*log(2)^8+64*(-45360*x^6+204120*x^5+612360*x^4-4286520*x^3+551
1240*x^2)*log(2)^6+16*(-4490640*x^4+20207880*x^3-60623640*x)*log(2)^4+4*(-105080976*x^2+262702440*x+157621464)
*log(2)^2-675520560)*log(5)^8-8*log(5)^16+384*log(5)^15)/(x^9-27*x^8+324*x^7-2268*x^6+10206*x^5-30618*x^4+6123
6*x^3-78732*x^2+59049*x-19683)/log(2)^16,x, algorithm="fricas")

[Out]

1/65536*(65536*(x^16 - 24*x^15 + 252*x^14 - 1512*x^13 + 5670*x^12 - 13608*x^11 + 20412*x^10 - 17497*x^9 + 6585
*x^8 - 252*x^7 + 1512*x^6 - 5670*x^5 + 13608*x^4 - 20412*x^3 + 17496*x^2 - 6561*x)*log(2)^16 + log(5)^16 + 8*(
4*(x^2 - 3*x)*log(2)^2 + 135)*log(5)^14 - 48*log(5)^15 + 1179648*(x^14 - 21*x^13 + 189*x^12 - 945*x^11 + 2835*
x^10 - 5103*x^9 + 4374*x^8 + 15309*x^7 - 183708*x^6 + 1102248*x^5 - 4133430*x^4 + 9920232*x^3 - 14880348*x^2 +
12754584*x - 4782969)*log(2)^14 - 336*(4*(x^2 - 3*x)*log(2)^2 + 45)*log(5)^13 + 28*(16*(x^4 - 6*x^3 + 9*x^2)*
log(2)^4 + 936*(x^2 - 3*x)*log(2)^2 + 5265)*log(5)^12 + 9289728*(x^12 - 18*x^11 + 135*x^10 - 540*x^9 + 810*x^8
+ 8262*x^7 - 101331*x^6 + 612360*x^5 - 2296350*x^4 + 5511240*x^3 - 8266860*x^2 + 7085880*x - 2657205)*log(2)^
12 - 1008*(16*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 + 312*(x^2 - 3*x)*log(2)^2 + 1053)*log(5)^11 + 56*(64*(x^6 - 9*x^
5 + 27*x^4 - 27*x^3)*log(2)^6 + 4752*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 + 46332*(x^2 - 3*x)*log(2)^2 + 104247)*log
(5)^10 + 41803776*(x^10 - 15*x^9 + 36*x^8 + 1026*x^7 - 13203*x^6 + 81405*x^5 - 306180*x^4 + 734832*x^3 - 11022
48*x^2 + 944784*x - 354294)*log(2)^10 - 48*(2240*(x^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 + 55440*(x^4 - 6*x^3
+ 9*x^2)*log(2)^4 + 324324*(x^2 - 3*x)*log(2)^2 + 521235)*log(5)^9 + 6*(8960*(4*x^7 - 66*x^6 + 468*x^5 - 1863
*x^4 + 4536*x^3 - 6804*x^2 + 5832*x - 2187)*log(2)^8 + 241920*(x^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 + 29937
60*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 + 11675664*(x^2 - 3*x)*log(2)^2 + 14073345)*log(5)^8 + 352719360*(4*x^7 - 66
*x^6 + 468*x^5 - 1863*x^4 + 4536*x^3 - 6804*x^2 + 5832*x - 2187)*log(2)^8 - 144*(8960*(4*x^7 - 66*x^6 + 468*x^
5 - 1863*x^4 + 4536*x^3 - 6804*x^2 + 5832*x - 2187)*log(2)^8 + 80640*(x^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6
+ 598752*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 + 1667952*(x^2 - 3*x)*log(2)^2 + 1563705)*log(5)^7 + 56*(1024*(x^10 -
15*x^9 + 36*x^8 + 1026*x^7 - 13203*x^6 + 81405*x^5 - 306180*x^4 + 734832*x^3 - 1102248*x^2 + 944784*x - 354294
)*log(2)^10 + 241920*(4*x^7 - 66*x^6 + 468*x^5 - 1863*x^4 + 4536*x^3 - 6804*x^2 + 5832*x - 2187)*log(2)^8 + 10
88640*(x^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 + 5388768*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 + 11258676*(x^2 - 3*x)
*log(2)^2 + 8444007)*log(5)^6 + 211631616*(x^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 - 1008*(1024*(x^10 - 15*x^9
+ 36*x^8 + 1026*x^7 - 13203*x^6 + 81405*x^5 - 306180*x^4 + 734832*x^3 - 1102248*x^2 + 944784*x - 354294)*log(
2)^10 + 80640*(4*x^7 - 66*x^6 + 468*x^5 - 1863*x^4 + 4536*x^3 - 6804*x^2 + 5832*x - 2187)*log(2)^8 + 217728*(x
^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 + 769824*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 + 1250964*(x^2 - 3*x)*log(2)^2
+ 767637)*log(5)^5 + 28*(4096*(x^12 - 18*x^11 + 135*x^10 - 540*x^9 + 810*x^8 + 8262*x^7 - 101331*x^6 + 612360*
x^5 - 2296350*x^4 + 5511240*x^3 - 8266860*x^2 + 7085880*x - 2657205)*log(2)^12 + 276480*(x^10 - 15*x^9 + 36*x^
8 + 1026*x^7 - 13203*x^6 + 81405*x^5 - 306180*x^4 + 734832*x^3 - 1102248*x^2 + 944784*x - 354294)*log(2)^10 +
10886400*(4*x^7 - 66*x^6 + 468*x^5 - 1863*x^4 + 4536*x^3 - 6804*x^2 + 5832*x - 2187)*log(2)^8 + 19595520*(x^6
- 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 + 51963120*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 + 67552056*(x^2 - 3*x)*log(2)^2
+ 34543665)*log(5)^4 + 238085568*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 - 336*(4096*(x^12 - 18*x^11 + 135*x^10 - 540*x
^9 + 810*x^8 + 8262*x^7 - 101331*x^6 + 612360*x^5 - 2296350*x^4 + 5511240*x^3 - 8266860*x^2 + 7085880*x - 2657
205)*log(2)^12 + 92160*(x^10 - 15*x^9 + 36*x^8 + 1026*x^7 - 13203*x^6 + 81405*x^5 - 306180*x^4 + 734832*x^3 -
1102248*x^2 + 944784*x - 354294)*log(2)^10 + 2177280*(4*x^7 - 66*x^6 + 468*x^5 - 1863*x^4 + 4536*x^3 - 6804*x^
2 + 5832*x - 2187)*log(2)^8 + 2799360*(x^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 + 5773680*(x^4 - 6*x^3 + 9*x^2)
*log(2)^4 + 6141096*(x^2 - 3*x)*log(2)^2 + 2657205)*log(5)^3 + 8*(16384*(x^14 - 21*x^13 + 189*x^12 - 945*x^11
+ 2835*x^10 - 5103*x^9 + 4374*x^8 + 15309*x^7 - 183708*x^6 + 1102248*x^5 - 4133430*x^4 + 9920232*x^3 - 1488034
8*x^2 + 12754584*x - 4782969)*log(2)^14 + 774144*(x^12 - 18*x^11 + 135*x^10 - 540*x^9 + 810*x^8 + 8262*x^7 - 1
01331*x^6 + 612360*x^5 - 2296350*x^4 + 5511240*x^3 - 8266860*x^2 + 7085880*x - 2657205)*log(2)^12 + 8709120*(x
^10 - 15*x^9 + 36*x^8 + 1026*x^7 - 13203*x^6 + 81405*x^5 - 306180*x^4 + 734832*x^3 - 1102248*x^2 + 944784*x -
354294)*log(2)^10 + 137168640*(4*x^7 - 66*x^6 + 468*x^5 - 1863*x^4 + 4536*x^3 - 6804*x^2 + 5832*x - 2187)*log(
2)^8 + 132269760*(x^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 + 218245104*(x^4 - 6*x^3 + 9*x^2)*log(2)^4 + 1934445
24*(x^2 - 3*x)*log(2)^2 + 71744535)*log(5)^2 + 153055008*(x^2 - 3*x)*log(2)^2 - 48*(16384*(x^14 - 21*x^13 + 18
9*x^12 - 945*x^11 + 2835*x^10 - 5103*x^9 + 4374*x^8 + 15309*x^7 - 183708*x^6 + 1102248*x^5 - 4133430*x^4 + 992
0232*x^3 - 14880348*x^2 + 12754584*x - 4782969)*log(2)^14 + 258048*(x^12 - 18*x^11 + 135*x^10 - 540*x^9 + 810*
x^8 + 8262*x^7 - 101331*x^6 + 612360*x^5 - 2296350*x^4 + 5511240*x^3 - 8266860*x^2 + 7085880*x - 2657205)*log(
2)^12 + 1741824*(x^10 - 15*x^9 + 36*x^8 + 1026*x^7 - 13203*x^6 + 81405*x^5 - 306180*x^4 + 734832*x^3 - 1102248
*x^2 + 944784*x - 354294)*log(2)^10 + 19595520*(4*x^7 - 66*x^6 + 468*x^5 - 1863*x^4 + 4536*x^3 - 6804*x^2 + 58
32*x - 2187)*log(2)^8 + 14696640*(x^6 - 9*x^5 + 27*x^4 - 27*x^3)*log(2)^6 + 19840464*(x^4 - 6*x^3 + 9*x^2)*log
(2)^4 + 14880348*(x^2 - 3*x)*log(2)^2 + 4782969)*log(5) + 43046721)/((x^8 - 24*x^7 + 252*x^6 - 1512*x^5 + 5670
*x^4 - 13608*x^3 + 20412*x^2 - 17496*x + 6561)*log(2)^16)

________________________________________________________________________________________

giac [B]  time = 0.33, size = 4266, normalized size = 147.10 result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/65536*(-344373768+65536*(8*x^16-216*x^15+2592*x^14-18144*x^13+81648*x^12-244944*x^11+489888*x^10-6
29857*x^9+472419*x^8-157788*x^7+2268*x^6-10206*x^5+30618*x^4-61236*x^3+78732*x^2-59049*x+19683)*log(2)^16+1638
4*(432*x^14-10584*x^13+113400*x^12-694008*x^11+2653560*x^10-6491016*x^9+9920232*x^8-8660520*x^7+3306744*x^6)*l
og(2)^14+4096*(9072*x^12-204120*x^11+1959552*x^10-10410120*x^9+33067440*x^8-62828136*x^7+66134880*x^6-29760696
*x^5)*log(2)^12+1024*(81648*x^10-1837080*x^9+16533720*x^8-77157360*x^7+198404640*x^6-267846264*x^5+148803480*x
^4)*log(2)^10+256*(-5511240*x^7+66134880*x^6-297606960*x^5+595213920*x^4-446410440*x^3)*log(2)^8+64*(-6613488*
x^6+29760696*x^5+89282088*x^4-624974616*x^3+803538792*x^2)*log(2)^6+16*(-59521392*x^4+267846264*x^3-803538792*
x)*log(2)^4+4*(-229582512*x^2+573956280*x+344373768)*log(2)^2+(4096*(112*x^12-2520*x^11+24192*x^10-128520*x^9+
408240*x^8-775656*x^7+816480*x^6-367416*x^5)*log(2)^12+1024*(15120*x^10-340200*x^9+3061800*x^8-14288400*x^7+36
741600*x^6-49601160*x^5+27556200*x^4)*log(2)^10+256*(-4762800*x^7+57153600*x^6-257191200*x^5+514382400*x^4-385
786800*x^3)*log(2)^8+64*(-17146080*x^6+77157360*x^5+231472080*x^4-1620304560*x^3+2083248720*x^2)*log(2)^6+16*(
-363741840*x^4+1636838280*x^3-4910514840*x)*log(2)^4+4*(-2837186352*x^2+7092965880*x+4255779528)*log(2)^2-7737
780960)*log(5)^4+(4096*(-1344*x^12+30240*x^11-290304*x^10+1542240*x^9-4898880*x^8+9307872*x^7-9797760*x^6+4408
992*x^5)*log(2)^12+1024*(-60480*x^10+1360800*x^9-12247200*x^8+57153600*x^7-146966400*x^6+198404640*x^5-1102248
00*x^4)*log(2)^10+256*(11430720*x^7-137168640*x^6+617258880*x^5-1234517760*x^4+925888320*x^3)*log(2)^8+64*(293
93280*x^6-132269760*x^5-396809280*x^4+2777664960*x^3-3571283520*x^2)*log(2)^6+16*(484989120*x^4-2182451040*x^3
[phone]*x)*log(2)^4+4*(3095112384*x^2-7737780960*x-4642668576)*log(2)^2+7142567040)*log(5)^3+(16384*(48*x^
14-1176*x^13+12600*x^12-77112*x^11+294840*x^10-721224*x^9+1102248*x^8-962280*x^7+367416*x^6)*log(2)^14+4096*(6
048*x^12-136080*x^11+1306368*x^10-6940080*x^9+22044960*x^8-41885424*x^7+44089920*x^6-19840464*x^5)*log(2)^12+1
024*(136080*x^10-3061800*x^9+27556200*x^8-128595600*x^7+330674400*x^6-446410440*x^5+248005800*x^4)*log(2)^10+2
56*(-17146080*x^7+205752960*x^6-925888320*x^5+1851776640*x^4-1388832480*x^3)*log(2)^8+64*(-33067440*x^6+148803
480*x^5+446410440*x^4-3124873080*x^3+4017693960*x^2)*log(2)^6+16*(-436490208*x^4+1964205936*x^3-5892617808*x)*
log(2)^4+4*(-2321334288*x^2+5803335720*x+3482001432)*log(2)^2-4591650240)*log(5)^2+(256*(20160*x^7-241920*x^6+
1088640*x^5-2177280*x^4+1632960*x^3)*log(2)^8+64*(362880*x^6-1632960*x^5-4898880*x^4+34292160*x^3-44089920*x^2
)*log(2)^6+16*(21555072*x^4-96997824*x^3+290993472*x)*log(2)^4+4*(360277632*x^2-900694080*x-540416448)*log(2)^
2+1801388160)*log(5)^7+(16384*(-288*x^14+7056*x^13-75600*x^12+462672*x^11-1769040*x^10+4327344*x^9-6613488*x^8
+5773680*x^7-2204496*x^6)*log(2)^14+4096*(-12096*x^12+272160*x^11-2612736*x^10+13880160*x^9-44089920*x^8+83770
848*x^7-88179840*x^6+39680928*x^5)*log(2)^12+1024*(-163296*x^10+3674160*x^9-33067440*x^8+154314720*x^7-3968092
80*x^6+535692528*x^5-297606960*x^4)*log(2)^10+256*(14696640*x^7-176359680*x^6+793618560*x^5-1587237120*x^4+119
0427840*x^3)*log(2)^8+64*(22044960*x^6-99202320*x^5-297606960*x^4+2083248720*x^3-2678462640*x^2)*log(2)^6+16*(
238085568*x^4-1071385056*x^3+3214155168*x)*log(2)^4+4*(1071385056*x^2-2678462640*x-1607077584)*log(2)^2+183666
0096)*log(5)+(1024*(112*x^10-2520*x^9+22680*x^8-105840*x^7+272160*x^6-367416*x^5+204120*x^4)*log(2)^10+256*(-2
11680*x^7+2540160*x^6-11430720*x^5+22861440*x^4-17146080*x^3)*log(2)^8+64*(-1905120*x^6+8573040*x^5+25719120*x
^4-180033840*x^3+231472080*x^2)*log(2)^6+16*(-75442752*x^4+339492384*x^3-1018477152*x)*log(2)^4+4*(-945728784*
x^2+2364321960*x+1418593176)*log(2)^2-3782915136)*log(5)^6+(1024*(-2016*x^10+45360*x^9-408240*x^8+1905120*x^7-
4898880*x^6+6613488*x^5-3674160*x^4)*log(2)^10+256*(1270080*x^7-15240960*x^6+68584320*x^5-137168640*x^4+102876
480*x^3)*log(2)^8+64*(6858432*x^6-30862944*x^5-92588832*x^4+648121824*x^3-833299488*x^2)*log(2)^6+16*(19399564
8*x^4-872980416*x^3+2618941248*x)*log(2)^4+4*(1891457568*x^2-4728643920*x-2837186352)*log(2)^2+6190224768)*log
(5)^5+(4*(-48*x^2+120*x+72)*log(2)^2-8640)*log(5)^14+(4*(2016*x^2-5040*x-3024)*log(2)^2+120960)*log(5)^13+(16*
(-112*x^4+504*x^3-1512*x)*log(2)^4+4*(-39312*x^2+98280*x+58968)*log(2)^2-1179360)*log(5)^12+(16*(4032*x^4-1814
4*x^3+54432*x)*log(2)^4+4*(471744*x^2-1179360*x-707616)*log(2)^2+8491392)*log(5)^11+(64*(-112*x^6+504*x^5+1512
*x^4-10584*x^3+13608*x^2)*log(2)^6+16*(-66528*x^4+299376*x^3-898128*x)*log(2)^4+4*(-3891888*x^2+9729720*x+5837
832)*log(2)^2-46702656)*log(5)^10+(64*(3360*x^6-15120*x^5-45360*x^4+317520*x^3-408240*x^2)*log(2)^6+16*(665280
*x^4-2993760*x^3+8981280*x)*log(2)^4+4*(23351328*x^2-58378320*x-35026992)*log(2)^2+200154240)*log(5)^9+(256*(-
840*x^7+10080*x^6-45360*x^5+90720*x^4-68040*x^3)*log(2)^8+64*(-45360*x^6+204120*x^5+612360*x^4-4286520*x^3+551
1240*x^2)*log(2)^6+16*(-4490640*x^4+20207880*x^3-60623640*x)*log(2)^4+4*(-105080976*x^2+262702440*x+157621464)
*log(2)^2-675520560)*log(5)^8-8*log(5)^16+384*log(5)^15)/(x^9-27*x^8+324*x^7-2268*x^6+10206*x^5-30618*x^4+6123
6*x^3-78732*x^2+59049*x-19683)/log(2)^16,x, algorithm="giac")

[Out]

1/65536*(65536*x^8*log(2)^16 + 131072*x^6*log(5)^2*log(2)^14 - 786432*x^6*log(5)*log(2)^14 + 393216*x^5*log(5)
^2*log(2)^14 + 114688*x^4*log(5)^4*log(2)^12 + 1179648*x^6*log(2)^14 - 2359296*x^5*log(5)*log(2)^14 + 1179648*
x^4*log(5)^2*log(2)^14 - 1376256*x^4*log(5)^3*log(2)^12 + 688128*x^3*log(5)^4*log(2)^12 + 3538944*x^5*log(2)^1
4 - 7077888*x^4*log(5)*log(2)^14 + 3538944*x^3*log(5)^2*log(2)^14 + 57344*x^2*log(5)^6*log(2)^10 + 6193152*x^4
*log(5)^2*log(2)^12 - 8257536*x^3*log(5)^3*log(2)^12 + 3096576*x^2*log(5)^4*log(2)^12 + 10616832*x^4*log(2)^14
- 21233664*x^3*log(5)*log(2)^14 + 10616832*x^2*log(5)^2*log(2)^14 - 1032192*x^2*log(5)^5*log(2)^10 + 516096*x
*log(5)^6*log(2)^10 - 12386304*x^4*log(5)*log(2)^12 + 37158912*x^3*log(5)^2*log(2)^12 - 37158912*x^2*log(5)^3*
log(2)^12 + 12386304*x*log(5)^4*log(2)^12 + 31850496*x^3*log(2)^14 - 63700992*x^2*log(5)*log(2)^14 + 31850496*
x*log(5)^2*log(2)^14 - 65536*x*log(2)^16 + 7741440*x^2*log(5)^4*log(2)^10 - 9289728*x*log(5)^5*log(2)^10 + 928
9728*x^4*log(2)^12 - 74317824*x^3*log(5)*log(2)^12 + 167215104*x^2*log(5)^2*log(2)^12 - 148635648*x*log(5)^3*l
og(2)^12 + 95551488*x^2*log(2)^14 - 191102976*x*log(5)*log(2)^14 - 30965760*x^2*log(5)^3*log(2)^10 + 69672960*
x*log(5)^4*log(2)^10 + 55738368*x^3*log(2)^12 - 334430208*x^2*log(5)*log(2)^12 + 668860416*x*log(5)^2*log(2)^1
2 + 286654464*x*log(2)^14 + 69672960*x^2*log(5)^2*log(2)^10 - 278691840*x*log(5)^3*log(2)^10 + 250822656*x^2*l
og(2)^12 - 1337720832*x*log(5)*log(2)^12 - 83607552*x^2*log(5)*log(2)^10 + 627056640*x*log(5)^2*log(2)^10 + 10
03290624*x*log(2)^12 + 41803776*x^2*log(2)^10 - 752467968*x*log(5)*log(2)^10 + 376233984*x*log(2)^10 + (215040
*x^7*log(5)^8*log(2)^8 + 15482880*x^7*log(5)^6*log(2)^10 + 167215104*x^7*log(5)^4*log(2)^12 + 286654464*x^7*lo
g(5)^2*log(2)^14 + 3584*x^6*log(5)^10*log(2)^6 - 5160960*x^7*log(5)^7*log(2)^8 - 3548160*x^6*log(5)^8*log(2)^8
- 278691840*x^7*log(5)^5*log(2)^10 - 301916160*x^6*log(5)^6*log(2)^10 - 2006581248*x^7*log(5)^3*log(2)^12 - 3
427909632*x^6*log(5)^4*log(2)^12 - 1719926784*x^7*log(5)*log(2)^14 - 6019743744*x^6*log(5)^2*log(2)^14 - 10752
0*x^6*log(5)^9*log(2)^6 - 32256*x^5*log(5)^10*log(2)^6 + 54190080*x^7*log(5)^6*log(2)^8 + 85155840*x^6*log(5)^
7*log(2)^8 + 25159680*x^5*log(5)^8*log(2)^8 + 2090188800*x^7*log(5)^4*log(2)^10 + 5434490880*x^6*log(5)^5*log(
2)^10 + 2522161152*x^5*log(5)^6*log(2)^10 + 9029615616*x^7*log(5)^2*log(2)^12 + 41134915584*x^6*log(5)^3*log(2
)^12 + 30098718720*x^5*log(5)^4*log(2)^12 + 2579890176*x^7*log(2)^14 + 36118462464*x^6*log(5)*log(2)^14 + 5417
7693696*x^5*log(5)^2*log(2)^14 + 448*x^4*log(5)^12*log(2)^4 + 1451520*x^6*log(5)^8*log(2)^6 + 967680*x^5*log(5
)^9*log(2)^6 + 96768*x^4*log(5)^10*log(2)^6 - 325140480*x^7*log(5)^5*log(2)^8 - 894136320*x^6*log(5)^6*log(2)^
8 - 603832320*x^5*log(5)^7*log(2)^8 - 100154880*x^4*log(5)^8*log(2)^8 - 8360755200*x^7*log(5)^3*log(2)^10 - 40
758681600*x^6*log(5)^4*log(2)^10 - 45398900736*x^5*log(5)^5*log(2)^10 - 11705057280*x^4*log(5)^6*log(2)^10 - 1
8059231232*x^7*log(5)*log(2)^12 - 185107120128*x^6*log(5)^2*log(2)^12 - 361184624640*x^5*log(5)^3*log(2)^12 -
146731253760*x^4*log(5)^4*log(2)^12 - 54177693696*x^6*log(2)^14 - 325066162176*x^5*log(5)*log(2)^14 - 27088846
8480*x^4*log(5)^2*log(2)^14 - 16128*x^4*log(5)^11*log(2)^4 - 2688*x^3*log(5)^12*log(2)^4 - 11612160*x^6*log(5)
^7*log(2)^6 - 13063680*x^5*log(5)^8*log(2)^6 - 2903040*x^4*log(5)^9*log(2)^6 - 96768*x^3*log(5)^10*log(2)^6 +
1219276800*x^7*log(5)^4*log(2)^8 + 5364817920*x^6*log(5)^5*log(2)^8 + 6340239360*x^5*log(5)^6*log(2)^8 + 24037
17120*x^4*log(5)^7*log(2)^8 + 243855360*x^3*log(5)^8*log(2)^8 + 18811699200*x^7*log(5)^2*log(2)^10 + 163034726
400*x^6*log(5)^3*log(2)^10 + 340491755520*x^5*log(5)^4*log(2)^10 + 210691031040*x^4*log(5)^5*log(2)^10 + 32606
945280*x^3*log(5)^6*log(2)^10 + 13544423424*x^7*log(2)^12 + 370214240256*x^6*log(5)*log(2)^12 + 1625330810880*
x^5*log(5)^2*log(2)^12 + 1760775045120*x^4*log(5)^3*log(2)^12 + 428906741760*x^3*log(5)^4*log(2)^12 + 48759924
3264*x^5*log(2)^14 + 1625330810880*x^4*log(5)*log(2)^14 + 812665405440*x^3*log(5)^2*log(2)^14 + 32*x^2*log(5)^
14*log(2)^2 + 266112*x^4*log(5)^10*log(2)^4 + 96768*x^3*log(5)^11*log(2)^4 + 4032*x^2*log(5)^12*log(2)^4 + 609
63840*x^6*log(5)^6*log(2)^6 + 104509440*x^5*log(5)^7*log(2)^6 + 39191040*x^4*log(5)^8*log(2)^6 + 2903040*x^3*l
og(5)^9*log(2)^6 - 2926264320*x^7*log(5)^3*log(2)^8 - 20118067200*x^6*log(5)^4*log(2)^8 - 38041436160*x^5*log(
5)^5*log(2)^8 - 25239029760*x^4*log(5)^6*log(2)^8 - 5852528640*x^3*log(5)^7*log(2)^8 - 365783040*x^2*log(5)^8*
log(2)^8 - 22574039040*x^7*log(5)*log(2)^10 - 366828134400*x^6*log(5)^2*log(2)^10 - 1361967022080*x^5*log(5)^3
*log(2)^10 - 1580182732800*x^4*log(5)^4*log(2)^10 - 586925015040*x^3*log(5)^5*log(2)^10 - 54553927680*x^2*log(
5)^6*log(2)^10 - 277660680192*x^6*log(2)^12 - 3250661621760*x^5*log(5)*log(2)^12 - 7923487703040*x^4*log(5)^2*
log(2)^12 - 5146880901120*x^3*log(5)^3*log(2)^12 - 751715500032*x^2*log(5)^4*log(2)^12 - 2437996216320*x^4*log
(2)^14 - 4875992432640*x^3*log(5)*log(2)^14 - 1462797729792*x^2*log(5)^2*log(2)^14 - 1344*x^2*log(5)^13*log(2)
^2 - 96*x*log(5)^14*log(2)^2 - 2661120*x^4*log(5)^9*log(2)^4 - 1596672*x^3*log(5)^10*log(2)^4 - 145152*x^2*log
(5)^11*log(2)^4 - 219469824*x^6*log(5)^5*log(2)^6 - 548674560*x^5*log(5)^6*log(2)^6 - 313528320*x^4*log(5)^7*l
og(2)^6 - 39191040*x^3*log(5)^8*log(2)^6 + 4389396480*x^7*log(5)^2*log(2)^8 + 48283361280*x^6*log(5)^3*log(2)^
8 + 142655385600*x^5*log(5)^4*log(2)^8 + 151434178560*x^4*log(5)^5*log(2)^8 + 61451550720*x^3*log(5)^6*log(2)^
8 + 8778792960*x^2*log(5)^7*log(2)^8 + 313528320*x*log(5)^8*log(2)^8 + 11287019520*x^7*log(2)^10 + 44019376128
0*x^6*log(5)*log(2)^10 + 3064425799680*x^5*log(5)^2*log(2)^10 + 6320730931200*x^4*log(5)^3*log(2)^10 + 4401937
612800*x^3*log(5)^4*log(2)^10 + 981970698240*x^2*log(5)^5*log(2)^10 + 50791587840*x*log(5)^6*log(2)^10 + 24379
96216320*x^5*log(2)^12 + 15846975406080*x^4*log(5)*log(2)^12 + 23160964055040*x^3*log(5)^2*log(2)^12 + 9020586
000384*x^2*log(5)^3*log(2)^12 + 731398864896*x*log(5)^4*log(2)^12 + 7313988648960*x^3*log(2)^14 + 877678637875
2*x^2*log(5)*log(2)^14 + 1462797729792*x*log(5)^2*log(2)^14 + log(5)^16 + 26208*x^2*log(5)^12*log(2)^2 + 4032*
x*log(5)^13*log(2)^2 + 17962560*x^4*log(5)^8*log(2)^4 + 15966720*x^3*log(5)^9*log(2)^4 + 2395008*x^2*log(5)^10
*log(2)^4 + 548674560*x^6*log(5)^4*log(2)^6 + 1975228416*x^5*log(5)^5*log(2)^6 + 1646023680*x^4*log(5)^6*log(2
)^6 + 313528320*x^3*log(5)^7*log(2)^6 - 3762339840*x^7*log(5)*log(2)^8 - 72425041920*x^6*log(5)^2*log(2)^8 - 3
42372925440*x^5*log(5)^3*log(2)^8 - 567878169600*x^4*log(5)^4*log(2)^8 - 368709304320*x^3*log(5)^5*log(2)^8 -
92177326080*x^2*log(5)^6*log(2)^8 - 7524679680*x*log(5)^7*log(2)^8 - 117573120*log(5)^8*log(2)^8 - 22009688064
0*x^6*log(2)^10 - 3677310959616*x^5*log(5)*log(2)^10 - 14221644595200*x^4*log(5)^2*log(2)^10 - 17607750451200*
x^3*log(5)^3*log(2)^10 - 7364780236800*x^2*log(5)^4*log(2)^10 - 914248581120*x*log(5)^5*log(2)^10 - 2031663513
6*log(5)^6*log(2)^10 - 11885231554560*x^4*log(2)^12 - 46321928110080*x^3*log(5)*log(2)^12 - 40592637001728*x^2
*log(5)^2*log(2)^12 - 8776786378752*x*log(5)^3*log(2)^12 - 304749527040*log(5)^4*log(2)^12 - 13165179568128*x^
2*log(2)^14 - 8776786378752*x*log(5)*log(2)^14 - 626913312768*log(5)^2*log(2)^14 - 48*log(5)^15 - 314496*x^2*l
og(5)^11*log(2)^2 - 78624*x*log(5)^12*log(2)^2 - 86220288*x^4*log(5)^7*log(2)^4 - 107775360*x^3*log(5)^8*log(2
)^4 - 23950080*x^2*log(5)^9*log(2)^4 - 940584960*x^6*log(5)^3*log(2)^6 - 4938071040*x^5*log(5)^4*log(2)^6 - 59
25685248*x^4*log(5)^5*log(2)^6 - 1646023680*x^3*log(5)^6*log(2)^6 + 1410877440*x^7*log(2)^8 + 62078607360*x^6*
log(5)*log(2)^8 + 513559388160*x^5*log(5)^2*log(2)^8 + 1362907607040*x^4*log(5)^3*log(2)^8 + 1382659891200*x^3
*log(5)^4*log(2)^8 + 553063956480*x^2*log(5)^5*log(2)^8 + 79009136640*x*log(5)^6*log(2)^8 + 2821754880*log(5)^
7*log(2)^8 + 1838655479808*x^5*log(2)^10 + 17065973514240*x^4*log(5)*log(2)^10 + 39617438515200*x^3*log(5)^2*l
og(2)^10 + 29459120947200*x^2*log(5)^3*log(2)^10 + 6856864358400*x*log(5)^4*log(2)^10 + 365699432448*log(5)^5*
log(2)^10 + 34741446082560*x^3*log(2)^12 + 81185274003456*x^2*log(5)*log(2)^12 + 39495538704384*x*log(5)^2*log
(2)^12 + 3656994324480*log(5)^3*log(2)^12 + 13165179568128*x*log(2)^14 + 3761479876608*log(5)*log(2)^14 + 1080
*log(5)^14 + 2594592*x^2*log(5)^10*log(2)^2 + 943488*x*log(5)^11*log(2)^2 + 301771008*x^4*log(5)^6*log(2)^4 +
517321728*x^3*log(5)^7*log(2)^4 + 161663040*x^2*log(5)^8*log(2)^4 + 1058158080*x^6*log(5)^2*log(2)^6 + 8465264
640*x^5*log(5)^3*log(2)^6 + 14814213120*x^4*log(5)^4*log(2)^6 + 5925685248*x^3*log(5)^5*log(2)^6 - 23279477760
*x^6*log(2)^8 - 440193761280*x^5*log(5)*log(2)^8 - 2044361410560*x^4*log(5)^2*log(2)^8 - 3318383738880*x^3*log
(5)^3*log(2)^8 - 2073989836800*x^2*log(5)^4*log(2)^8 - 474054819840*x*log(5)^5*log(2)^8 - 29628426240*log(5)^6
*log(2)^8 - 8532986757120*x^4*log(2)^10 - 47540926218240*x^3*log(5)*log(2)^10 - 66283022131200*x^2*log(5)^2*lo
g(2)^10 - 27427457433600*x*log(5)^3*log(2)^10 - 2742745743360*log(5)^4*log(2)^10 - 60888955502592*x^2*log(2)^1
2 - 78991077408768*x*log(5)*log(2)^12 - 16456474460160*log(5)^2*log(2)^12 - 5642219814912*log(2)^14 - 15120*lo
g(5)^13 - 15567552*x^2*log(5)^9*log(2)^2 - 7783776*x*log(5)^10*log(2)^2 - 775982592*x^4*log(5)^5*log(2)^4 - 18
10626048*x^3*log(5)^6*log(2)^4 - 775982592*x^2*log(5)^7*log(2)^4 - 705438720*x^6*log(5)*log(2)^6 - 9523422720*
x^5*log(5)^2*log(2)^6 - 25395793920*x^4*log(5)^3*log(2)^6 - 14814213120*x^3*log(5)^4*log(2)^6 + 165072660480*x
^5*log(2)^8 + 1752309780480*x^4*log(5)*log(2)^8 + 4977575608320*x^3*log(5)^2*log(2)^8 + 4977575608320*x^2*log(
5)^3*log(2)^8 + 1777705574400*x*log(5)^4*log(2)^8 + 177770557440*log(5)^5*log(2)^8 + 23770463109120*x^3*log(2)
^10 + 79539626557440*x^2*log(5)*log(2)^10 + 61711779225600*x*log(5)^2*log(2)^10 + 10970982973440*log(5)^3*log(
2)^10 + 59243308056576*x*log(2)^12 + 32912948920320*log(5)*log(2)^12 + 147420*log(5)^12 + 70053984*x^2*log(5)^
8*log(2)^2 + 46702656*x*log(5)^9*log(2)^2 + 1454967360*x^4*log(5)^4*log(2)^4 + 4655895552*x^3*log(5)^5*log(2)^
4 + 2715939072*x^2*log(5)^6*log(2)^4 + 211631616*x^6*log(2)^6 + 6348948480*x^5*log(5)*log(2)^6 + 28570268160*x
^4*log(5)^2*log(2)^6 + 25395793920*x^3*log(5)^3*log(2)^6 - 657116167680*x^4*log(2)^8 - 4266493378560*x^3*log(5
)*log(2)^8 - 7466363412480*x^2*log(5)^2*log(2)^8 - 4266493378560*x*log(5)^3*log(2)^8 - 666639590400*log(5)^4*l
og(2)^8 - 39769813278720*x^2*log(2)^10 - 74054135070720*x*log(5)*log(2)^10 - 24684711690240*log(5)^2*log(2)^10
- 24684711690240*log(2)^12 - 1061424*log(5)^11 - 240185088*x^2*log(5)^7*log(2)^2 - 210161952*x*log(5)^8*log(2
)^2 - 1939956480*x^4*log(5)^3*log(2)^4 - 8729804160*x^3*log(5)^4*log(2)^4 - 6983843328*x^2*log(5)^5*log(2)^4 -
1904684544*x^5*log(2)^6 - 19046845440*x^4*log(5)*log(2)^6 - 28570268160*x^3*log(5)^2*log(2)^6 + 1599935016960
*x^3*log(2)^8 + 6399740067840*x^2*log(5)*log(2)^8 + 6399740067840*x*log(5)^2*log(2)^8 + 1599935016960*log(5)^3
*log(2)^8 + 37027067535360*x*log(2)^10 + 29621654028288*log(5)*log(2)^10 + 5837832*log(5)^10 + 630485856*x^2*l
og(5)^6*log(2)^2 + 720555264*x*log(5)^7*log(2)^2 + 1745960832*x^4*log(5)^2*log(2)^4 + 11639738880*x^3*log(5)^3
*log(2)^4 + 13094706240*x^2*log(5)^4*log(2)^4 + 5714053632*x^4*log(2)^6 + 19046845440*x^3*log(5)*log(2)^6 - 23
99902525440*x^2*log(2)^8 - 5485491486720*x*log(5)*log(2)^8 - 2399902525440*log(5)^2*log(2)^8 - 14810827014144*
log(2)^10 - 25019280*log(5)^9 - 1260971712*x^2*log(5)^5*log(2)^2 - 1891457568*x*log(5)^6*log(2)^2 - 952342272*
x^4*log(5)*log(2)^4 - 10475764992*x^3*log(5)^2*log(2)^4 - 17459608320*x^2*log(5)^3*log(2)^4 - 5714053632*x^3*l
og(2)^6 + 2057059307520*x*log(2)^8 + 2057059307520*log(5)*log(2)^8 + 84440070*log(5)^8 + 1891457568*x^2*log(5)
^4*log(2)^2 + 3782915136*x*log(5)^5*log(2)^2 + 238085568*x^4*log(2)^4 + 5714053632*x^3*log(5)*log(2)^4 + 15713
647488*x^2*log(5)^2*log(2)^4 - 771397240320*log(2)^8 - 225173520*log(5)^7 - 2063408256*x^2*log(5)^3*log(2)^2 -
5674372704*x*log(5)^4*log(2)^2 - 1428513408*x^3*log(2)^4 - 8571080448*x^2*log(5)*log(2)^4 + 472864392*log(5)^
6 + 1547556192*x^2*log(5)^2*log(2)^2 + 6190224768*x*log(5)^3*log(2)^2 + 2142770112*x^2*log(2)^4 - 773778096*lo
g(5)^5 - 714256704*x^2*log(5)*log(2)^2 - 4642668576*x*log(5)^2*log(2)^2 + 967222620*log(5)^4 + 153055008*x^2*l
og(2)^2 + 2142770112*x*log(5)*log(2)^2 - 892820880*log(5)^3 - 459165024*x*log(2)^2 + 573956280*log(5)^2 - 2295
82512*log(5) + 43046721)/(x - 3)^8)/log(2)^16

________________________________________________________________________________________

maple [B]  time = 3.09, size = 2134, normalized size = 73.59

method	result	size
default	\(\text {Expression too large to display}\)	\(2134\)
norman	\(\text {Expression too large to display}\)	\(3196\)
risch	\(\text {Expression too large to display}\)	\(3559\)
gosper	\(\text {Expression too large to display}\)	\(4453\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(1/65536*(-344373768+65536*(8*x^16-216*x^15+2592*x^14-18144*x^13+81648*x^12-244944*x^11+489888*x^10-629857*
x^9+472419*x^8-157788*x^7+2268*x^6-10206*x^5+30618*x^4-61236*x^3+78732*x^2-59049*x+19683)*ln(2)^16+16384*(432*
x^14-10584*x^13+113400*x^12-694008*x^11+2653560*x^10-6491016*x^9+9920232*x^8-8660520*x^7+3306744*x^6)*ln(2)^14
+4096*(9072*x^12-204120*x^11+1959552*x^10-10410120*x^9+33067440*x^8-62828136*x^7+66134880*x^6-29760696*x^5)*ln
(2)^12+1024*(81648*x^10-1837080*x^9+16533720*x^8-77157360*x^7+198404640*x^6-267846264*x^5+148803480*x^4)*ln(2)
^10+256*(-5511240*x^7+66134880*x^6-297606960*x^5+595213920*x^4-446410440*x^3)*ln(2)^8+64*(-6613488*x^6+2976069
6*x^5+89282088*x^4-624974616*x^3+803538792*x^2)*ln(2)^6+16*(-59521392*x^4+267846264*x^3-803538792*x)*ln(2)^4+4
*(-229582512*x^2+573956280*x+344373768)*ln(2)^2-8*ln(5)^16+384*ln(5)^15+(16384*(48*x^14-1176*x^13+12600*x^12-7
7112*x^11+294840*x^10-721224*x^9+1102248*x^8-962280*x^7+367416*x^6)*ln(2)^14+4096*(6048*x^12-136080*x^11+13063
68*x^10-6940080*x^9+22044960*x^8-41885424*x^7+44089920*x^6-19840464*x^5)*ln(2)^12+1024*(136080*x^10-3061800*x^
9+27556200*x^8-128595600*x^7+330674400*x^6-446410440*x^5+248005800*x^4)*ln(2)^10+256*(-17146080*x^7+205752960*
x^6-925888320*x^5+1851776640*x^4-1388832480*x^3)*ln(2)^8+64*(-33067440*x^6+148803480*x^5+446410440*x^4-3124873
080*x^3+4017693960*x^2)*ln(2)^6+16*(-436490208*x^4+1964205936*x^3-5892617808*x)*ln(2)^4+4*(-2321334288*x^2+580
3335720*x+3482001432)*ln(2)^2-4591650240)*ln(5)^2+(256*(20160*x^7-241920*x^6+1088640*x^5-2177280*x^4+1632960*x
^3)*ln(2)^8+64*(362880*x^6-1632960*x^5-4898880*x^4+34292160*x^3-44089920*x^2)*ln(2)^6+16*(21555072*x^4-9699782
4*x^3+290993472*x)*ln(2)^4+4*(360277632*x^2-900694080*x-540416448)*ln(2)^2+1801388160)*ln(5)^7+(16384*(-288*x^
14+7056*x^13-75600*x^12+462672*x^11-1769040*x^10+4327344*x^9-6613488*x^8+5773680*x^7-2204496*x^6)*ln(2)^14+409
6*(-12096*x^12+272160*x^11-2612736*x^10+13880160*x^9-44089920*x^8+83770848*x^7-88179840*x^6+39680928*x^5)*ln(2
)^12+1024*(-163296*x^10+3674160*x^9-33067440*x^8+154314720*x^7-396809280*x^6+535692528*x^5-297606960*x^4)*ln(2
)^10+256*(14696640*x^7-176359680*x^6+793618560*x^5-1587237120*x^4+1190427840*x^3)*ln(2)^8+64*(22044960*x^6-992
02320*x^5-297606960*x^4+2083248720*x^3-2678462640*x^2)*ln(2)^6+16*(238085568*x^4-1071385056*x^3+3214155168*x)*
ln(2)^4+4*(1071385056*x^2-2678462640*x-1607077584)*ln(2)^2+1836660096)*ln(5)+(4096*(112*x^12-2520*x^11+24192*x
^10-128520*x^9+408240*x^8-775656*x^7+816480*x^6-367416*x^5)*ln(2)^12+1024*(15120*x^10-340200*x^9+3061800*x^8-1
4288400*x^7+36741600*x^6-49601160*x^5+27556200*x^4)*ln(2)^10+256*(-4762800*x^7+57153600*x^6-257191200*x^5+5143
82400*x^4-385786800*x^3)*ln(2)^8+64*(-17146080*x^6+77157360*x^5+231472080*x^4-1620304560*x^3+2083248720*x^2)*l
n(2)^6+16*(-363741840*x^4+1636838280*x^3-4910514840*x)*ln(2)^4+4*(-2837186352*x^2+7092965880*x+4255779528)*ln(
2)^2-7737780960)*ln(5)^4+(4096*(-1344*x^12+30240*x^11-290304*x^10+1542240*x^9-4898880*x^8+9307872*x^7-9797760*
x^6+4408992*x^5)*ln(2)^12+1024*(-60480*x^10+1360800*x^9-12247200*x^8+57153600*x^7-146966400*x^6+198404640*x^5-
110224800*x^4)*ln(2)^10+256*(11430720*x^7-137168640*x^6+617258880*x^5-1234517760*x^4+925888320*x^3)*ln(2)^8+64
*(29393280*x^6-132269760*x^5-396809280*x^4+2777664960*x^3-3571283520*x^2)*ln(2)^6+16*(484989120*x^4-2182451040
*x^3+6547353120*x)*ln(2)^4+4*(3095112384*x^2-7737780960*x-4642668576)*ln(2)^2+7142567040)*ln(5)^3+(16*(4032*x^
4-18144*x^3+54432*x)*ln(2)^4+4*(471744*x^2-1179360*x-707616)*ln(2)^2+8491392)*ln(5)^11+(64*(-112*x^6+504*x^5+1
512*x^4-10584*x^3+13608*x^2)*ln(2)^6+16*(-66528*x^4+299376*x^3-898128*x)*ln(2)^4+4*(-3891888*x^2+9729720*x+583
7832)*ln(2)^2-46702656)*ln(5)^10+(64*(3360*x^6-15120*x^5-45360*x^4+317520*x^3-408240*x^2)*ln(2)^6+16*(665280*x
^4-2993760*x^3+8981280*x)*ln(2)^4+4*(23351328*x^2-58378320*x-35026992)*ln(2)^2+200154240)*ln(5)^9+(256*(-840*x
^7+10080*x^6-45360*x^5+90720*x^4-68040*x^3)*ln(2)^8+64*(-45360*x^6+204120*x^5+612360*x^4-4286520*x^3+5511240*x
^2)*ln(2)^6+16*(-4490640*x^4+20207880*x^3-60623640*x)*ln(2)^4+4*(-105080976*x^2+262702440*x+157621464)*ln(2)^2
-675520560)*ln(5)^8+(1024*(112*x^10-2520*x^9+22680*x^8-105840*x^7+272160*x^6-367416*x^5+204120*x^4)*ln(2)^10+2
56*(-211680*x^7+2540160*x^6-11430720*x^5+22861440*x^4-17146080*x^3)*ln(2)^8+64*(-1905120*x^6+8573040*x^5+25719
120*x^4-180033840*x^3+231472080*x^2)*ln(2)^6+16*(-75442752*x^4+339492384*x^3-1018477152*x)*ln(2)^4+4*(-9457287
84*x^2+2364321960*x+1418593176)*ln(2)^2-3782915136)*ln(5)^6+(1024*(-2016*x^10+45360*x^9-408240*x^8+1905120*x^7
-4898880*x^6+6613488*x^5-3674160*x^4)*ln(2)^10+256*(1270080*x^7-15240960*x^6+68584320*x^5-137168640*x^4+102876
480*x^3)*ln(2)^8+64*(6858432*x^6-30862944*x^5-92588832*x^4+648121824*x^3-833299488*x^2)*ln(2)^6+16*(193995648*
x^4-872980416*x^3+2618941248*x)*ln(2)^4+4*(1891457568*x^2-4728643920*x-2837186352)*ln(2)^2+6190224768)*ln(5)^5
+(4*(-48*x^2+120*x+72)*ln(2)^2-8640)*ln(5)^14+(4*(2016*x^2-5040*x-3024)*ln(2)^2+120960)*ln(5)^13+(16*(-112*x^4
+504*x^3-1512*x)*ln(2)^4+4*(-39312*x^2+98280*x+58968)*ln(2)^2-1179360)*ln(5)^12)/(x^9-27*x^8+324*x^7-2268*x^6+
10206*x^5-30618*x^4+61236*x^3-78732*x^2+59049*x-19683)/ln(2)^16,x,method=_RETURNVERBOSE)

[Out]

1/65536/ln(2)^16*(3584*ln(2)^6*(59049+405*ln(5)^8-3240*ln(5)^7+17010*ln(5)^6-61236*ln(5)^5-4723920*ln(2)^2*ln(
5)-262440*ln(5)^3+153090*ln(5)^4+4723920*ln(2)^4-196830*ln(5)+295245*ln(5)^2+1771470*ln(2)^2+1259712*ln(5)^2*l
n(2)^6+5511240*ln(2)^2*ln(5)^2+1889568*ln(2)^6+ln(5)^10-30*ln(5)^9+23328*ln(2)^6*ln(5)^4-279936*ln(2)^6*ln(5)^
3+270*ln(5)^8*ln(2)^2+6480*ln(5)^6*ln(2)^4-6480*ln(5)^7*ln(2)^2-116640*ln(5)^5*ln(2)^4-3674160*ln(5)^3*ln(2)^2
-9447840*ln(5)*ln(2)^4+1530900*ln(5)^4*ln(2)^2+7873200*ln(5)^2*ln(2)^4-408240*ln(5)^5*ln(2)^2-3499200*ln(5)^3*
ln(2)^4-2519424*ln(5)*ln(2)^6+68040*ln(5)^6*ln(2)^2+874800*ln(5)^4*ln(2)^4)/(x-3)^2-1376256*ln(5)^3*ln(2)^12*x
^4+393216*ln(5)^2*ln(2)^14*x^5-786432*ln(5)*ln(2)^14*x^6+114688*ln(5)^4*ln(2)^12*x^4-2359296*ln(5)*ln(2)^14*x^
5+10616832*ln(2)^14*x^4+31850496*ln(2)^14*x^3+95551488*ln(2)^14*x^2+286654464*ln(2)^14*x+55738368*ln(2)^12*x^3
[phone]*ln(2)^12*x^2+1003290624*ln(2)^12*x+41803776*ln(2)^10*x^2+376233984*ln(2)^10*x+32256*ln(2)^6*(59049+
405*ln(5)^8-3240*ln(5)^7+17010*ln(5)^6-61236*ln(5)^5-1049760*ln(2)^2*ln(5)-262440*ln(5)^3+153090*ln(5)^4+31492
8*ln(2)^4-196830*ln(5)+295245*ln(5)^2+393660*ln(2)^2+1224720*ln(2)^2*ln(5)^2+ln(5)^10-30*ln(5)^9+60*ln(5)^8*ln
(2)^2+432*ln(5)^6*ln(2)^4-1440*ln(5)^7*ln(2)^2-7776*ln(5)^5*ln(2)^4-816480*ln(5)^3*ln(2)^2-629856*ln(5)*ln(2)^
4+340200*ln(5)^4*ln(2)^2+524880*ln(5)^2*ln(2)^4-90720*ln(5)^5*ln(2)^2-233280*ln(5)^3*ln(2)^4+15120*ln(5)^6*ln(
2)^2+58320*ln(5)^4*ln(2)^4)/(x-3)^3+6193152*ln(5)^2*ln(2)^12*x^4+32*ln(2)^2*(4782969+2189187*ln(5)^8-7505784*l
n(5)^7+19702683*ln(5)^6-39405366*ln(5)^5-267846264*ln(2)^2*ln(5)-64481508*ln(5)^3+59108049*ln(5)^4-22320522*ln
(5)[phone]*ln(5)^2+66961566*ln(2)^2+491051484*ln(2)^2*ln(5)^2+81081*ln(5)^10-486486*ln(5)^9+126*ln(5)^12*ln(
2)^2-4536*ln(5)^11*ln(2)^2+74844*ln(5)^10*ln(2)^2-748440*ln(5)^9*ln(2)^2+5051970*ln(5)^8*ln(2)^2-24249456*ln(5
)^7*ln(2)^2-545612760*ln(5)^3*ln(2)^2+409209570*ln(5)^4*ln(2)^2-218245104*ln(5)^5*ln(2)^2+84873096*ln(5)^6*ln(
2)^2+819*ln(5)^12+ln(5)^14-42*ln(5)^13-9828*ln(5)^11)/(x-3)^6+131072*ln(5)^2*ln(2)^14*x^6-65536*ln(2)^16*x+117
9648*ln(2)^14*x^6+3538944*ln(2)^14*x^5+9289728*ln(2)^12*x^4+65536*ln(2)^16*x^8-12386304*ln(5)*ln(2)^12*x^4+614
4*ln(2)^8*(35*ln(5)^8+2520*ln(5)^6*ln(2)^2+27216*ln(5)^4*ln(2)^4+46656*ln(5)^2*ln(2)^6-840*ln(5)^7-45360*ln(5)
^5*ln(2)^2-326592*ln(5)^3*ln(2)^4-279936*ln(5)*ln(2)^6+8820*ln(5)^6+340200*ln(5)^4*ln(2)^2+1469664*ln(5)^2*ln(
2)^4+419904*ln(2)^6-52920*ln(5)^5-1360800*ln(5)^3*ln(2)^2-2939328*ln(5)*ln(2)^4+198450*ln(5)^4+3061800*ln(2)^2
*ln(5)^2+2204496*ln(2)^4-476280*ln(5)^3-3674160*ln(2)^2*ln(5)+714420*ln(5)^2+1837080*ln(2)^2-612360*ln(5)+2296
35)/(x-3)+1179648*ln(5)^2*ln(2)^14*x^4+688128*ln(5)^4*ln(2)^12*x^3+3538944*ln(5)^2*ln(2)^14*x^3-7077888*ln(5)*
ln(2)^14*x^4+57344*ln(5)^6*ln(2)^10*x^2+3096576*ln(5)^4*ln(2)^12*x^2-8257536*ln(5)^3*ln(2)^12*x^3+10616832*ln(
5)^2*ln(2)^14*x^2-21233664*ln(5)*ln(2)^14*x^3+516096*ln(5)^6*ln(2)^10*x-1032192*ln(5)^5*ln(2)^10*x^2+12386304*
ln(5)^4*ln(2)^12*x-37158912*ln(5)^3*ln(2)^12*x^2+31850496*ln(5)^2*ln(2)^14*x+37158912*ln(5)^2*ln(2)^12*x^3-637
00992*ln(5)*ln(2)^14*x^2-9289728*ln(5)^5*ln(2)^10*x+7741440*ln(5)^4*ln(2)^10*x^2-148635648*ln(5)^3*ln(2)^12*x+
167215104*ln(5)^2*ln(2)^12*x^2-191102976*ln(5)*ln(2)^14*x-74317824*ln(5)*ln(2)^12*x^3+69672960*ln(5)^4*ln(2)^1
0*x-30965760*ln(5)^3*ln(2)^10*x^2+668860416*ln(5)^2*ln(2)^12*x-334430208*ln(5)*ln(2)^12*x^2-278691840*ln(5)^3*
ln(2)^10*x+69672960*ln(5)^2*ln(2)^10*x^2-1337720832*ln(5)*ln(2)^12*x+627056640*ln(5)^2*ln(2)^10*x-83607552*ln(
5)*ln(2)^10*x^2-752467968*ln(5)*ln(2)^10*x+448*ln(2)^4*(531441+40095*ln(5)^8-192456*ln(5)^7+673596*ln(5)^6-173
2104*ln(5)^5-42515280*ln(2)^2*ln(5)-4330260*ln(5)^3+3247695*ln(5)^4+21257640*ln(2)^4-2125764*ln(5)+3897234*ln(
5)^2+12754584*ln(2)^2+63772920*ln(2)^2*ln(5)^2+594*ln(5)^10-5940*ln(5)^9+216*ln(5)^10*ln(2)^2+3240*ln(5)^8*ln(
2)^4-6480*ln(5)^9*ln(2)^2-77760*ln(5)^7*ln(2)^4+87480*ln(5)^8*ln(2)^2+816480*ln(5)^6*ln(2)^4-699840*ln(5)^7*ln
(2)^2-4898880*ln(5)^5*ln(2)^4-56687040*ln(5)^3*ln(2)^2-56687040*ln(5)*ln(2)^4+33067440*ln(5)^4*ln(2)^2+6613488
0*ln(5)^2*ln(2)^4-13226976*ln(5)^5*ln(2)^2-44089920*ln(5)^3*ln(2)^4+3674160*ln(5)^6*ln(2)^2+18370800*ln(5)^4*l
n(2)^4+ln(5)^12-36*ln(5)^11)/(x-3)^4+96*ln(2)^2*(ln(5)^14-42*ln(5)^13+819*ln(5)^12-9828*ln(5)^11+81081*ln(5)^1
0-486486*ln(5)^9+2189187*ln(5)^8-7505784*ln(5)^7+19702683*ln(5)^6-39405366*ln(5)^5+59108049*ln(5)^4-64481508*l
n(5)^3+48361131*ln(5)^2-22320522*ln(5)+4782969)/(x-3)^7+2688*ln(2)^4*(ln(5)^12+36*ln(5)^10*ln(2)^2-36*ln(5)^11
-1080*ln(5)^9*ln(2)^2+594*ln(5)^10+14580*ln(5)^8*ln(2)^2-5940*ln(5)^9-116640*ln(5)^7*ln(2)^2+40095*ln(5)^8+612
360*ln(5)^6*ln(2)^2-192456*ln(5)^7-2204496*ln(5)^5*ln(2)^2+673596*ln(5)^6+5511240*ln(5)^4*ln(2)^2-1732104*ln(5
)^5-9447840*ln(5)^3*ln(2)^2+3247695*ln(5)^4+10628820*ln(2)^2*ln(5)^2-4330260*ln(5)^3-7085880*ln(2)^2*ln(5)+389
7234*ln(5)^2+2125764*ln(2)^2-2125764*ln(5)+531441)/(x-3)^5-(-43046721-84440070*ln(5)^8+225173520*ln(5)^7-47286
4392*ln(5)^6+773778096*ln(5)^5+892820880*ln(5)^3-967222620*ln(5)^4+229582512*ln(5)-573956280*ln(5)^2-ln(5)^16+
48*ln(5)^15-5837832*ln(5)^10+25019280*ln(5)^9-147420*ln(5)^12-1080*ln(5)^14+15120*ln(5)^13+1061424*ln(5)^11)/(
x-3)^8)

________________________________________________________________________________________

maxima [B]  time = 0.48, size = 2993, normalized size = 103.21 result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/65536*(-344373768+65536*(8*x^16-216*x^15+2592*x^14-18144*x^13+81648*x^12-244944*x^11+489888*x^10-6
29857*x^9+472419*x^8-157788*x^7+2268*x^6-10206*x^5+30618*x^4-61236*x^3+78732*x^2-59049*x+19683)*log(2)^16+1638
4*(432*x^14-10584*x^13+113400*x^12-694008*x^11+2653560*x^10-6491016*x^9+9920232*x^8-8660520*x^7+3306744*x^6)*l
og(2)^14+4096*(9072*x^12-204120*x^11+1959552*x^10-10410120*x^9+33067440*x^8-62828136*x^7+66134880*x^6-29760696
*x^5)*log(2)^12+1024*(81648*x^10-1837080*x^9+16533720*x^8-77157360*x^7+198404640*x^6-267846264*x^5+148803480*x
^4)*log(2)^10+256*(-5511240*x^7+66134880*x^6-297606960*x^5+595213920*x^4-446410440*x^3)*log(2)^8+64*(-6613488*
x^6+29760696*x^5+89282088*x^4-624974616*x^3+803538792*x^2)*log(2)^6+16*(-59521392*x^4+267846264*x^3-803538792*
x)*log(2)^4+4*(-229582512*x^2+573956280*x+344373768)*log(2)^2+(4096*(112*x^12-2520*x^11+24192*x^10-128520*x^9+
408240*x^8-775656*x^7+816480*x^6-367416*x^5)*log(2)^12+1024*(15120*x^10-340200*x^9+3061800*x^8-14288400*x^7+36
741600*x^6-49601160*x^5+27556200*x^4)*log(2)^10+256*(-4762800*x^7+57153600*x^6-257191200*x^5+514382400*x^4-385
786800*x^3)*log(2)^8+64*(-17146080*x^6+77157360*x^5+231472080*x^4-1620304560*x^3+2083248720*x^2)*log(2)^6+16*(
-363741840*x^4+1636838280*x^3-4910514840*x)*log(2)^4+4*(-2837186352*x^2+7092965880*x+4255779528)*log(2)^2-7737
780960)*log(5)^4+(4096*(-1344*x^12+30240*x^11-290304*x^10+1542240*x^9-4898880*x^8+9307872*x^7-9797760*x^6+4408
992*x^5)*log(2)^12+1024*(-60480*x^10+1360800*x^9-12247200*x^8+57153600*x^7-146966400*x^6+198404640*x^5-1102248
00*x^4)*log(2)^10+256*(11430720*x^7-137168640*x^6+617258880*x^5-1234517760*x^4+925888320*x^3)*log(2)^8+64*(293
93280*x^6-132269760*x^5-396809280*x^4+2777664960*x^3-3571283520*x^2)*log(2)^6+16*(484989120*x^4-2182451040*x^3
[phone]*x)*log(2)^4+4*(3095112384*x^2-7737780960*x-4642668576)*log(2)^2+7142567040)*log(5)^3+(16384*(48*x^
14-1176*x^13+12600*x^12-77112*x^11+294840*x^10-721224*x^9+1102248*x^8-962280*x^7+367416*x^6)*log(2)^14+4096*(6
048*x^12-136080*x^11+1306368*x^10-6940080*x^9+22044960*x^8-41885424*x^7+44089920*x^6-19840464*x^5)*log(2)^12+1
024*(136080*x^10-3061800*x^9+27556200*x^8-128595600*x^7+330674400*x^6-446410440*x^5+248005800*x^4)*log(2)^10+2
56*(-17146080*x^7+205752960*x^6-925888320*x^5+1851776640*x^4-1388832480*x^3)*log(2)^8+64*(-33067440*x^6+148803
480*x^5+446410440*x^4-3124873080*x^3+4017693960*x^2)*log(2)^6+16*(-436490208*x^4+1964205936*x^3-5892617808*x)*
log(2)^4+4*(-2321334288*x^2+5803335720*x+3482001432)*log(2)^2-4591650240)*log(5)^2+(256*(20160*x^7-241920*x^6+
1088640*x^5-2177280*x^4+1632960*x^3)*log(2)^8+64*(362880*x^6-1632960*x^5-4898880*x^4+34292160*x^3-44089920*x^2
)*log(2)^6+16*(21555072*x^4-96997824*x^3+290993472*x)*log(2)^4+4*(360277632*x^2-900694080*x-540416448)*log(2)^
2+1801388160)*log(5)^7+(16384*(-288*x^14+7056*x^13-75600*x^12+462672*x^11-1769040*x^10+4327344*x^9-6613488*x^8
+5773680*x^7-2204496*x^6)*log(2)^14+4096*(-12096*x^12+272160*x^11-2612736*x^10+13880160*x^9-44089920*x^8+83770
848*x^7-88179840*x^6+39680928*x^5)*log(2)^12+1024*(-163296*x^10+3674160*x^9-33067440*x^8+154314720*x^7-3968092
80*x^6+535692528*x^5-297606960*x^4)*log(2)^10+256*(14696640*x^7-176359680*x^6+793618560*x^5-1587237120*x^4+119
0427840*x^3)*log(2)^8+64*(22044960*x^6-99202320*x^5-297606960*x^4+2083248720*x^3-2678462640*x^2)*log(2)^6+16*(
238085568*x^4-1071385056*x^3+3214155168*x)*log(2)^4+4*(1071385056*x^2-2678462640*x-1607077584)*log(2)^2+183666
0096)*log(5)+(1024*(112*x^10-2520*x^9+22680*x^8-105840*x^7+272160*x^6-367416*x^5+204120*x^4)*log(2)^10+256*(-2
11680*x^7+2540160*x^6-11430720*x^5+22861440*x^4-17146080*x^3)*log(2)^8+64*(-1905120*x^6+8573040*x^5+25719120*x
^4-180033840*x^3+231472080*x^2)*log(2)^6+16*(-75442752*x^4+339492384*x^3-1018477152*x)*log(2)^4+4*(-945728784*
x^2+2364321960*x+1418593176)*log(2)^2-3782915136)*log(5)^6+(1024*(-2016*x^10+45360*x^9-408240*x^8+1905120*x^7-
4898880*x^6+6613488*x^5-3674160*x^4)*log(2)^10+256*(1270080*x^7-15240960*x^6+68584320*x^5-137168640*x^4+102876
480*x^3)*log(2)^8+64*(6858432*x^6-30862944*x^5-92588832*x^4+648121824*x^3-833299488*x^2)*log(2)^6+16*(19399564
8*x^4-872980416*x^3+2618941248*x)*log(2)^4+4*(1891457568*x^2-4728643920*x-2837186352)*log(2)^2+6190224768)*log
(5)^5+(4*(-48*x^2+120*x+72)*log(2)^2-8640)*log(5)^14+(4*(2016*x^2-5040*x-3024)*log(2)^2+120960)*log(5)^13+(16*
(-112*x^4+504*x^3-1512*x)*log(2)^4+4*(-39312*x^2+98280*x+58968)*log(2)^2-1179360)*log(5)^12+(16*(4032*x^4-1814
4*x^3+54432*x)*log(2)^4+4*(471744*x^2-1179360*x-707616)*log(2)^2+8491392)*log(5)^11+(64*(-112*x^6+504*x^5+1512
*x^4-10584*x^3+13608*x^2)*log(2)^6+16*(-66528*x^4+299376*x^3-898128*x)*log(2)^4+4*(-3891888*x^2+9729720*x+5837
832)*log(2)^2-46702656)*log(5)^10+(64*(3360*x^6-15120*x^5-45360*x^4+317520*x^3-408240*x^2)*log(2)^6+16*(665280
*x^4-2993760*x^3+8981280*x)*log(2)^4+4*(23351328*x^2-58378320*x-35026992)*log(2)^2+200154240)*log(5)^9+(256*(-
840*x^7+10080*x^6-45360*x^5+90720*x^4-68040*x^3)*log(2)^8+64*(-45360*x^6+204120*x^5+612360*x^4-4286520*x^3+551
1240*x^2)*log(2)^6+16*(-4490640*x^4+20207880*x^3-60623640*x)*log(2)^4+4*(-105080976*x^2+262702440*x+157621464)
*log(2)^2-675520560)*log(5)^8-8*log(5)^16+384*log(5)^15)/(x^9-27*x^8+324*x^7-2268*x^6+10206*x^5-30618*x^4+6123
6*x^3-78732*x^2+59049*x-19683)/log(2)^16,x, algorithm="maxima")

[Out]

1/65536*(65536*x^8*log(2)^16 + 131072*(log(5)^2*log(2)^14 - 6*log(5)*log(2)^14 + 9*log(2)^14)*x^6 + 393216*(lo
g(5)^2*log(2)^14 - 6*log(5)*log(2)^14 + 9*log(2)^14)*x^5 + 16384*(7*log(5)^4*log(2)^12 - 84*log(5)^3*log(2)^12
+ 648*log(2)^14 + 567*log(2)^12 + 18*(4*log(2)^14 + 21*log(2)^12)*log(5)^2 - 108*(4*log(2)^14 + 7*log(2)^12)*
log(5))*x^4 + 98304*(7*log(5)^4*log(2)^12 - 84*log(5)^3*log(2)^12 + 324*log(2)^14 + 567*log(2)^12 + 18*(2*log(
2)^14 + 21*log(2)^12)*log(5)^2 - 108*(2*log(2)^14 + 7*log(2)^12)*log(5))*x^3 + 8192*(7*log(5)^6*log(2)^10 - 12
6*log(5)^5*log(2)^10 + 11664*log(2)^14 + 30618*log(2)^12 + 5103*log(2)^10 + 189*(2*log(2)^12 + 5*log(2)^10)*lo
g(5)^4 - 756*(6*log(2)^12 + 5*log(2)^10)*log(5)^3 + 81*(16*log(2)^14 + 252*log(2)^12 + 105*log(2)^10)*log(5)^2
- 486*(16*log(2)^14 + 84*log(2)^12 + 21*log(2)^10)*log(5))*x^2 + 8192*(63*log(5)^6*log(2)^10 - 8*log(2)^16 -
1134*log(5)^5*log(2)^10 + 34992*log(2)^14 + 122472*log(2)^12 + 45927*log(2)^10 + 189*(8*log(2)^12 + 45*log(2)^
10)*log(5)^4 - 2268*(8*log(2)^12 + 15*log(2)^10)*log(5)^3 + 243*(16*log(2)^14 + 336*log(2)^12 + 315*log(2)^10)
*log(5)^2 - 1458*(16*log(2)^14 + 112*log(2)^12 + 63*log(2)^10)*log(5))*x + (log(5)^16 - 48*log(5)^15 + 1080*lo
g(5)^14 - 5642219814912*log(2)^14 - 15120*log(5)^13 + 147420*log(5)^12 - 24684711690240*log(2)^12 - 1061424*lo
g(5)^11 + 5837832*log(5)^10 - 14810827014144*log(2)^10 - 65610*(1792*log(2)^8 - 1287)*log(5)^8 - 25019280*log(
5)^9 + 6144*(35*log(5)^8*log(2)^8 - 840*log(5)^7*log(2)^8 + 419904*log(2)^14 + 2204496*log(2)^12 + 1837080*log
(2)^10 + 229635*log(2)^8 + 1260*(2*log(2)^10 + 7*log(2)^8)*log(5)^6 - 7560*(6*log(2)^10 + 7*log(2)^8)*log(5)^5
+ 1134*(24*log(2)^12 + 300*log(2)^10 + 175*log(2)^8)*log(5)^4 - 13608*(24*log(2)^12 + 100*log(2)^10 + 35*log(
2)^8)*log(5)^3 + 2916*(16*log(2)^14 + 504*log(2)^12 + 1050*log(2)^10 + 245*log(2)^8)*log(5)^2 - 17496*(16*log(
2)^14 + 168*log(2)^12 + 210*log(2)^10 + 35*log(2)^8)*log(5))*x^7 + 1574640*(1792*log(2)^8 - 143)*log(5)^7 - 77
1397240320*log(2)^8 + 3584*(log(5)^10*log(2)^6 - 30*log(5)^9*log(2)^6 - 15116544*log(2)^14 - 77472288*log(2)^1
2 - 61410960*log(2)^10 - 45*(22*log(2)^8 - 9*log(2)^6)*log(5)^8 + 1080*(22*log(2)^8 - 3*log(2)^6)*log(5)^7 - 6
495390*log(2)^8 - 810*(104*log(2)^10 + 308*log(2)^8 - 21*log(2)^6)*log(5)^6 + 972*(1560*log(2)^10 + 1540*log(2
)^8 - 63*log(2)^6)*log(5)^5 + 59049*log(2)^6 - 1458*(656*log(2)^12 + 7800*log(2)^10 + 3850*log(2)^8 - 105*log(
2)^6)*log(5)^4 + 17496*(656*log(2)^12 + 2600*log(2)^10 + 770*log(2)^8 - 15*log(2)^6)*log(5)^3 - 6561*(256*log(
2)^14 + 7872*log(2)^12 + 15600*log(2)^10 + 3080*log(2)^8 - 45*log(2)^6)*log(5)^2 + 39366*(256*log(2)^14 + 2624
*log(2)^12 + 3120*log(2)^10 + 440*log(2)^8 - 5*log(2)^6)*log(5))*x^6 - 3306744*(6144*log(2)^10 + 8960*log(2)^8
- 143)*log(5)^6 - 32256*(log(5)^10*log(2)^6 - 30*log(5)^9*log(2)^6 - 15116544*log(2)^14 - 75582720*log(2)^12
- 57001968*log(2)^10 - 15*(52*log(2)^8 - 27*log(2)^6)*log(5)^8 + 360*(52*log(2)^8 - 9*log(2)^6)*log(5)^7 - 511
7580*log(2)^8 - 54*(1448*log(2)^10 + 3640*log(2)^8 - 315*log(2)^6)*log(5)^6 + 324*(4344*log(2)^10 + 3640*log(2
)^8 - 189*log(2)^6)*log(5)^5 + 59049*log(2)^6 - 2430*(384*log(2)^12 + 4344*log(2)^10 + 1820*log(2)^8 - 63*log(
2)^6)*log(5)^4 + 29160*(384*log(2)^12 + 1448*log(2)^10 + 364*log(2)^8 - 9*log(2)^6)*log(5)^3 - 2187*(768*log(2
)^14 + 23040*log(2)^12 + 43440*log(2)^10 + 7280*log(2)^8 - 135*log(2)^6)*log(5)^2 + 13122*(768*log(2)^14 + 768
0*log(2)^12 + 8688*log(2)^10 + 1040*log(2)^8 - 15*log(2)^6)*log(5))*x^5 + 19840464*(18432*log(2)^10 + 8960*log
(2)^8 - 39)*log(5)^5 + 448*(log(5)^12*log(2)^4 - 36*log(5)^11*log(2)^4 - 5441955840*log(2)^14 - 26529534720*lo
g(2)^12 + 54*(4*log(2)^6 + 11*log(2)^4)*log(5)^10 - 540*(12*log(2)^6 + 11*log(2)^4)*log(5)^9 - 19046845440*log
(2)^10 - 1215*(184*log(2)^8 - 72*log(2)^6 - 33*log(2)^4)*log(5)^8 + 5832*(920*log(2)^8 - 120*log(2)^6 - 33*log
(2)^4)*log(5)^7 - 1466777160*log(2)^8 - 20412*(1280*log(2)^10 + 2760*log(2)^8 - 180*log(2)^6 - 33*log(2)^4)*lo
g(5)^6 + 52488*(8960*log(2)^10 + 6440*log(2)^8 - 252*log(2)^6 - 33*log(2)^4)*log(5)^5 + 12754584*log(2)^6 - 98
415*(3328*log(2)^12 + 35840*log(2)^10 + 12880*log(2)^8 - 336*log(2)^6 - 33*log(2)^4)*log(5)^4 + 393660*(9984*l
og(2)^12 + 35840*log(2)^10 + 7728*log(2)^8 - 144*log(2)^6 - 11*log(2)^4)*log(5)^3 + 531441*log(2)^4 - 118098*(
5120*log(2)^14 + 149760*log(2)^12 + 268800*log(2)^10 + 38640*log(2)^8 - 540*log(2)^6 - 33*log(2)^4)*log(5)^2 +
708588*(5120*log(2)^14 + 49920*log(2)^12 + 53760*log(2)^10 + 5520*log(2)^8 - 60*log(2)^6 - 3*log(2)^4)*log(5)
)*x^4 - 74401740*(4096*log(2)^12 + 36864*log(2)^10 + 8960*log(2)^8 - 13)*log(5)^4 - 2688*(log(5)^12*log(2)^4 -
36*log(5)^11*log(2)^4 - 2720977920*log(2)^14 - 12924645120*log(2)^12 + 18*(2*log(2)^6 + 33*log(2)^4)*log(5)^1
0 - 540*(2*log(2)^6 + 11*log(2)^4)*log(5)^9 - 8843178240*log(2)^10 - 405*(224*log(2)^8 - 36*log(2)^6 - 99*log(
2)^4)*log(5)^8 + 1944*(1120*log(2)^8 - 60*log(2)^6 - 99*log(2)^4)*log(5)^7 - 595213920*log(2)^8 - 2916*(4160*l
og(2)^10 + 7840*log(2)^8 - 210*log(2)^6 - 231*log(2)^4)*log(5)^6 + 17496*(12480*log(2)^10 + 7840*log(2)^8 - 12
6*log(2)^6 - 99*log(2)^4)*log(5)^5 + 2125764*log(2)^6 - 32805*(4864*log(2)^12 + 49920*log(2)^10 + 15680*log(2)
^8 - 168*log(2)^6 - 99*log(2)^4)*log(5)^4 + 393660*(4864*log(2)^12 + 16640*log(2)^10 + 3136*log(2)^8 - 24*log(
2)^6 - 11*log(2)^4)*log(5)^3 + 531441*log(2)^4 - 118098*(2560*log(2)^14 + 72960*log(2)^12 + 124800*log(2)^10 +
15680*log(2)^8 - 90*log(2)^6 - 33*log(2)^4)*log(5)^2 + 708588*(2560*log(2)^14 + 24320*log(2)^12 + 24960*log(2
)^10 + 2240*log(2)^8 - 10*log(2)^6 - 3*log(2)^4)*log(5))*x^3 + 892820880*(4096*log(2)^12 + 12288*log(2)^10 + 1
792*log(2)^8 - 1)*log(5)^3 + 32*(log(5)^14*log(2)^2 - 42*log(5)^13*log(2)^2 - 411411861504*log(2)^14 + 63*(2*l
og(2)^4 + 13*log(2)^2)*log(5)^12 - 756*(6*log(2)^4 + 13*log(2)^2)*log(5)^11 - 1902779859456*log(2)^12 + 6237*(
12*log(2)^4 + 13*log(2)^2)*log(5)^10 - 37422*(20*log(2)^4 + 13*log(2)^2)*log(5)^9 - 1242806664960*log(2)^10 -
5103*(2240*log(2)^8 - 990*log(2)^4 - 429*log(2)^2)*log(5)^8 + 17496*(15680*log(2)^8 - 1386*log(2)^4 - 429*log(
2)^2)*log(5)^7 - 74996953920*log(2)^8 - 45927*(37120*log(2)^10 + 62720*log(2)^8 - 1848*log(2)^4 - 429*log(2)^2
)*log(5)^6 + 275562*(111360*log(2)^10 + 62720*log(2)^8 - 792*log(2)^4 - 143*log(2)^2)*log(5)^5 - 413343*(56832
*log(2)^12 + 556800*log(2)^10 + 156800*log(2)^8 - 990*log(2)^4 - 143*log(2)^2)*log(5)^4 + 4960116*(56832*log(2
)^12 + 185600*log(2)^10 + 31360*log(2)^8 - 110*log(2)^4 - 13*log(2)^2)*log(5)^3 + 66961566*log(2)^4 - 3720087*
(12288*log(2)^14 + 340992*log(2)^12 + 556800*log(2)^10 + 62720*log(2)^8 - 132*log(2)^4 - 13*log(2)^2)*log(5)^2
+ 22320522*(12288*log(2)^14 + 113664*log(2)^12 + 111360*log(2)^10 + 8960*log(2)^8 - 12*log(2)^4 - log(2)^2)*l
og(5) + 4782969*log(2)^2)*x^2 - 38263752*(16384*log(2)^14 + 430080*log(2)^12 + 645120*log(2)^10 + 62720*log(2)
^8 - 15)*log(5)^2 - 96*(log(5)^14*log(2)^2 - 42*log(5)^13*log(2)^2 + 819*log(5)^12*log(2)^2 - 137137287168*log
(2)^14 - 9828*log(5)^11*log(2)^2 + 81081*log(5)^10*log(2)^2 - 617117792256*log(2)^12 - 486486*log(5)^9*log(2)^
2 - 385698620160*log(2)^10 - 5103*(640*log(2)^8 - 429*log(2)^2)*log(5)^8 + 17496*(4480*log(2)^8 - 429*log(2)^2
)*log(5)^7 - 21427701120*log(2)^8 - 45927*(11520*log(2)^10 + 17920*log(2)^8 - 429*log(2)^2)*log(5)^6 + 275562*
(34560*log(2)^10 + 17920*log(2)^8 - 143*log(2)^2)*log(5)^5 - 413343*(18432*log(2)^12 + 172800*log(2)^10 + 4480
0*log(2)^8 - 143*log(2)^2)*log(5)^4 + 4960116*(18432*log(2)^12 + 57600*log(2)^10 + 8960*log(2)^8 - 13*log(2)^2
)*log(5)^3 - 3720087*(4096*log(2)^14 + 110592*log(2)^12 + 172800*log(2)^10 + 17920*log(2)^8 - 13*log(2)^2)*log
(5)^2 + 22320522*(4096*log(2)^14 + 36864*log(2)^12 + 34560*log(2)^10 + 2560*log(2)^8 - log(2)^2)*log(5) + 4782
969*log(2)^2)*x + 229582512*(16384*log(2)^14 + 143360*log(2)^12 + 129024*log(2)^10 + 8960*log(2)^8 - 1)*log(5)
+ 43046721)/(x^8 - 24*x^7 + 252*x^6 - 1512*x^5 + 5670*x^4 - 13608*x^3 + 20412*x^2 - 17496*x + 6561))/log(2)^1
6

________________________________________________________________________________________

mupad [B]  time = 9.21, size = 4377, normalized size = 150.93 result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(((log(5)^7*(256*log(2)^8*(1632960*x^3 - 2177280*x^4 + 1088640*x^5 - 241920*x^6 + 20160*x^7) - 4*log(2)^2*(
900694080*x - 360277632*x^2 + 540416448) - 64*log(2)^6*(44089920*x^2 - 34292160*x^3 + 4898880*x^4 + 1632960*x^
5 - 362880*x^6) + 16*log(2)^4*(290993472*x - 96997824*x^3 + 21555072*x^4) + 1801388160))/65536 - (log(2)^4*(80
3538792*x - 267846264*x^3 + 59521392*x^4))/4096 + (log(5)^14*(4*log(2)^2*(120*x - 48*x^2 + 72) - 8640))/65536
- (log(5)^13*(4*log(2)^2*(5040*x - 2016*x^2 + 3024) - 120960))/65536 - (log(5)^5*(1024*log(2)^10*(3674160*x^4
- 6613488*x^5 + 4898880*x^6 - 1905120*x^7 + 408240*x^8 - 45360*x^9 + 2016*x^10) - 16*log(2)^4*(2618941248*x -
872980416*x^3 + 193995648*x^4) - 256*log(2)^8*(102876480*x^3 - 137168640*x^4 + 68584320*x^5 - 15240960*x^6 + 1
270080*x^7) + 4*log(2)^2*(4728643920*x - 1891457568*x^2 + 2837186352) + 64*log(2)^6*(833299488*x^2 - 648121824
*x^3 + 92588832*x^4 + 30862944*x^5 - 6858432*x^6) - 6190224768))/65536 + (log(2)^10*(148803480*x^4 - 267846264
*x^5 + 198404640*x^6 - 77157360*x^7 + 16533720*x^8 - 1837080*x^9 + 81648*x^10))/64 - (log(2)^12*(29760696*x^5
- 66134880*x^6 + 62828136*x^7 - 33067440*x^8 + 10410120*x^9 - 1959552*x^10 + 204120*x^11 - 9072*x^12))/16 + (l
og(5)^3*(4096*log(2)^12*(4408992*x^5 - 9797760*x^6 + 9307872*x^7 - 4898880*x^8 + 1542240*x^9 - 290304*x^10 + 3
0240*x^11 - 1344*x^12) - 4*log(2)^2*(7737780960*x - 3095112384*x^2 + 4642668576) - 64*log(2)^6*(3571283520*x^2
- 2777664960*x^3 + 396809280*x^4 + 132269760*x^5 - 29393280*x^6) - 1024*log(2)^10*(110224800*x^4 - 198404640*
x^5 + 146966400*x^6 - 57153600*x^7 + 12247200*x^8 - 1360800*x^9 + 60480*x^10) + 256*log(2)^8*(925888320*x^3 -
1234517760*x^4 + 617258880*x^5 - 137168640*x^6 + 11430720*x^7) + 16*log(2)^4*(6547353120*x - 2182451040*x^3 +
484989120*x^4) + 7142567040))/65536 - (log(5)^4*(4096*log(2)^12*(367416*x^5 - 816480*x^6 + 775656*x^7 - 408240
*x^8 + 128520*x^9 - 24192*x^10 + 2520*x^11 - 112*x^12) - 1024*log(2)^10*(27556200*x^4 - 49601160*x^5 + 3674160
0*x^6 - 14288400*x^7 + 3061800*x^8 - 340200*x^9 + 15120*x^10) + 16*log(2)^4*(4910514840*x - 1636838280*x^3 + 3
63741840*x^4) - 64*log(2)^6*(2083248720*x^2 - 1620304560*x^3 + 231472080*x^4 + 77157360*x^5 - 17146080*x^6) +
256*log(2)^8*(385786800*x^3 - 514382400*x^4 + 257191200*x^5 - 57153600*x^6 + 4762800*x^7) - 4*log(2)^2*(709296
5880*x - 2837186352*x^2 + 4255779528) + 7737780960))/65536 + (log(2)^14*(3306744*x^6 - 8660520*x^7 + 9920232*x
^8 - 6491016*x^9 + 2653560*x^10 - 694008*x^11 + 113400*x^12 - 10584*x^13 + 432*x^14))/4 - (log(5)^8*(256*log(2
)^8*(68040*x^3 - 90720*x^4 + 45360*x^5 - 10080*x^6 + 840*x^7) - 64*log(2)^6*(5511240*x^2 - 4286520*x^3 + 61236
0*x^4 + 204120*x^5 - 45360*x^6) - 4*log(2)^2*(262702440*x - 105080976*x^2 + 157621464) + 16*log(2)^4*(60623640
*x - 20207880*x^3 + 4490640*x^4) + 675520560))/65536 + (log(5)^10*(4*log(2)^2*(9729720*x - 3891888*x^2 + 58378
32) + 64*log(2)^6*(13608*x^2 - 10584*x^3 + 1512*x^4 + 504*x^5 - 112*x^6) - 16*log(2)^4*(898128*x - 299376*x^3
+ 66528*x^4) - 46702656))/65536 + log(2)^16*(78732*x^2 - 59049*x - 61236*x^3 + 30618*x^4 - 10206*x^5 + 2268*x^
6 - 157788*x^7 + 472419*x^8 - 629857*x^9 + 489888*x^10 - 244944*x^11 + 81648*x^12 - 18144*x^13 + 2592*x^14 - 2
16*x^15 + 8*x^16 + 19683) - (log(5)^9*(64*log(2)^6*(408240*x^2 - 317520*x^3 + 45360*x^4 + 15120*x^5 - 3360*x^6
) + 4*log(2)^2*(58378320*x - 23351328*x^2 + 35026992) - 16*log(2)^4*(8981280*x - 2993760*x^3 + 665280*x^4) - 2
00154240))/65536 + (log(5)^6*(1024*log(2)^10*(204120*x^4 - 367416*x^5 + 272160*x^6 - 105840*x^7 + 22680*x^8 -
2520*x^9 + 112*x^10) - 16*log(2)^4*(1018477152*x - 339492384*x^3 + 75442752*x^4) - 256*log(2)^8*(17146080*x^3
- 22861440*x^4 + 11430720*x^5 - 2540160*x^6 + 211680*x^7) + 4*log(2)^2*(2364321960*x - 945728784*x^2 + 1418593
176) + 64*log(2)^6*(231472080*x^2 - 180033840*x^3 + 25719120*x^4 + 8573040*x^5 - 1905120*x^6) - 3782915136))/6
5536 + (log(5)*(4096*log(2)^12*(39680928*x^5 - 88179840*x^6 + 83770848*x^7 - 44089920*x^8 + 13880160*x^9 - 261
2736*x^10 + 272160*x^11 - 12096*x^12) - 1024*log(2)^10*(297606960*x^4 - 535692528*x^5 + 396809280*x^6 - 154314
720*x^7 + 33067440*x^8 - 3674160*x^9 + 163296*x^10) - 16384*log(2)^14*(2204496*x^6 - 5773680*x^7 + 6613488*x^8
- 4327344*x^9 + 1769040*x^10 - 462672*x^11 + 75600*x^12 - 7056*x^13 + 288*x^14) + 256*log(2)^8*(1190427840*x^
3 - 1587237120*x^4 + 793618560*x^5 - 176359680*x^6 + 14696640*x^7) - 64*log(2)^6*(2678462640*x^2 - 2083248720*
x^3 + 297606960*x^4 + 99202320*x^5 - 22044960*x^6) - 4*log(2)^2*(2678462640*x - 1071385056*x^2 + 1607077584) +
16*log(2)^4*(3214155168*x - 1071385056*x^3 + 238085568*x^4) + 1836660096))/65536 - (log(5)^2*(4096*log(2)^12*
(19840464*x^5 - 44089920*x^6 + 41885424*x^7 - 22044960*x^8 + 6940080*x^9 - 1306368*x^10 + 136080*x^11 - 6048*x
^12) - 4*log(2)^2*(5803335720*x - 2321334288*x^2 + 3482001432) - 1024*log(2)^10*(248005800*x^4 - 446410440*x^5
+ 330674400*x^6 - 128595600*x^7 + 27556200*x^8 - 3061800*x^9 + 136080*x^10) - 64*log(2)^6*(4017693960*x^2 - 3
124873080*x^3 + 446410440*x^4 + 148803480*x^5 - 33067440*x^6) - 16384*log(2)^14*(367416*x^6 - 962280*x^7 + 110
2248*x^8 - 721224*x^9 + 294840*x^10 - 77112*x^11 + 12600*x^12 - 1176*x^13 + 48*x^14) + 256*log(2)^8*(138883248
0*x^3 - 1851776640*x^4 + 925888320*x^5 - 205752960*x^6 + 17146080*x^7) + 16*log(2)^4*(5892617808*x - 196420593
6*x^3 + 436490208*x^4) + 4591650240))/65536 + (3*log(5)^15)/512 - log(5)^16/8192 + (log(2)^2*(573956280*x - 22
9582512*x^2 + 344373768))/16384 - (log(2)^8*(446410440*x^3 - 595213920*x^4 + 297606960*x^5 - 66134880*x^6 + 55
11240*x^7))/256 - (log(5)^12*(16*log(2)^4*(1512*x - 504*x^3 + 112*x^4) - 4*log(2)^2*(98280*x - 39312*x^2 + 589
68) + 1179360))/65536 + (log(5)^11*(16*log(2)^4*(54432*x - 18144*x^3 + 4032*x^4) - 4*log(2)^2*(1179360*x - 471
744*x^2 + 707616) + 8491392))/65536 + (log(2)^6*(803538792*x^2 - 624974616*x^3 + 89282088*x^4 + 29760696*x^5 -
6613488*x^6))/1024 - 43046721/8192)/(log(2)^16*(59049*x - 78732*x^2 + 61236*x^3 - 30618*x^4 + 10206*x^5 - 226
8*x^6 + 324*x^7 - 27*x^8 + x^9 - 19683)),x)

[Out]

x^2*((405*(4644864*log(2)^12 + 232243200*log(2)^14 + 668860416*log(2)^16 + 3096576*log(2)^12*log(5)^2 - 688128
*log(2)^12*log(5)^3 + 57344*log(2)^12*log(5)^4 + 25804800*log(2)^14*log(5)^2 - 6193152*log(2)^12*log(5)*(25*lo
g(2)^2 + 1)))/(16384*log(2)^16) + (7*(69984*log(2)^2 - 1458*log(5) + 379080*log(2)^4 + 1215*log(5)^2 + 279936*
log(2)^6 - 540*log(5)^3 + 135*log(5)^4 - 18*log(5)^5 + log(5)^6 + 46656*log(2)^2*log(5)^2 - 10368*log(2)^2*log
(5)^3 + 864*log(2)^2*log(5)^4 + 42120*log(2)^4*log(5)^2 - 3888*log(2)^2*log(5)*(65*log(2)^2 + 24) + 729))/(8*l
og(2)^6) + (40095*(884736*log(2)^14 - 589824*log(2)^14*log(5) + 21233664*log(2)^16 + 98304*log(2)^14*log(5)^2)
)/(16384*log(2)^16) - (4455*(21676032*log(2)^14 - 14450688*log(2)^14*log(5) + 148635648*log(2)^16 + 2408448*lo
g(2)^14*log(5)^2))/(16384*log(2)^16) - (27*(104509440*log(2)^12 + 1421328384*log(2)^14 + 2006581248*log(2)^16
+ 69672960*log(2)^12*log(5)^2 - 15482880*log(2)^12*log(5)^3 + 1290240*log(2)^12*log(5)^4 + 157925376*log(2)^14
*log(5)^2 - 27869184*log(2)^12*log(5)*(34*log(2)^2 + 5)))/(16384*log(2)^16) - 25019280) + x^6*((884736*log(2)^
14 - 589824*log(2)^14*log(5) + 21233664*log(2)^16 + 98304*log(2)^14*log(5)^2)/(49152*log(2)^16) - 432) - x*((4
0095*(21676032*log(2)^14 - 14450688*log(2)^14*log(5) + 148635648*log(2)^16 + 2408448*log(2)^14*log(5)^2))/(819
2*log(2)^16) - (189*(69984*log(2)^2 - 1458*log(5) + 379080*log(2)^4 + 1215*log(5)^2 + 279936*log(2)^6 - 540*lo
g(5)^3 + 135*log(5)^4 - 18*log(5)^5 + log(5)^6 + 46656*log(2)^2*log(5)^2 - 10368*log(2)^2*log(5)^3 + 864*log(2
)^2*log(5)^4 + 42120*log(2)^4*log(5)^2 - 3888*log(2)^2*log(5)*(65*log(2)^2 + 24) + 729))/(4*log(2)^6) - (31274
1*(884736*log(2)^14 - 589824*log(2)^14*log(5) + 21233664*log(2)^16 + 98304*log(2)^14*log(5)^2))/(8192*log(2)^1
6) - (4455*(4644864*log(2)^12 + 232243200*log(2)^14 + 668860416*log(2)^16 + 3096576*log(2)^12*log(5)^2 - 68812
8*log(2)^12*log(5)^3 + 57344*log(2)^12*log(5)^4 + 25804800*log(2)^14*log(5)^2 - 6193152*log(2)^12*log(5)*(25*l
og(2)^2 + 1)))/(8192*log(2)^16) + (5205060*log(2)^2 - 459270*log(5) + 12982032*log(2)^4 + 382725*log(5)^2 + 50
38856*log(2)^6 - 170100*log(5)^3 + 42525*log(5)^4 - 5670*log(5)^5 + 315*log(5)^6 + 3470040*log(2)^2*log(5)^2 -
771120*log(2)^2*log(5)^3 + 64260*log(2)^2*log(5)^4 + 1442448*log(2)^4*log(5)^2 - 81648*log(2)^2*log(5)*(106*l
og(2)^2 + 85) + 229635)/(8*log(2)^6) + (405*(104509440*log(2)^12 + 1421328384*log(2)^14 + 2006581248*log(2)^16
+ 69672960*log(2)^12*log(5)^2 - 15482880*log(2)^12*log(5)^3 + 1290240*log(2)^12*log(5)^4 + 157925376*log(2)^1
4*log(5)^2 - 27869184*log(2)^12*log(5)*(34*log(2)^2 + 5)))/(8192*log(2)^16) + 360277632) - x^5*((21676032*log(
2)^14 - 14450688*log(2)^14*log(5) + 148635648*log(2)^16 + 2408448*log(2)^14*log(5)^2)/(40960*log(2)^16) - (27*
(884736*log(2)^14 - 589824*log(2)^14*log(5) + 21233664*log(2)^16 + 98304*log(2)^14*log(5)^2))/(40960*log(2)^16
) + 10368) - (28697814*log(5) - x*(267846264*log(2)^2*log(5) - 685686435840*log(2)^8*log(5) - 9256766883840*lo
g(2)^10*log(5) - 9873884676096*log(2)^12*log(5) - 1097098297344*log(2)^14*log(5) - 57395628*log(2)^2 + 2571324
13440*log(2)^8 + 4628383441920*log(2)^10 + 7405413507072*log(2)^12 + 1645647446016*log(2)^14 - 580333572*log(2
)^2*log(5)^2 + 773778096*log(2)^2*log(5)^3 - 709296588*log(2)^2*log(5)^4 + 472864392*log(2)^2*log(5)^5 - 23643
2196*log(2)^2*log(5)^6 + 90069408*log(2)^2*log(5)^7 - 26270244*log(2)^2*log(5)^8 + 799967508480*log(2)^8*log(5
)^2 + 5837832*log(2)^2*log(5)^9 - 533311672320*log(2)^8*log(5)^3 - 972972*log(2)^2*log(5)^10 + 222213196800*lo
g(2)^8*log(5)^4 + 7713972403200*log(2)^10*log(5)^2 + 117936*log(2)^2*log(5)^11 - 59256852480*log(2)^8*log(5)^5
- 3428432179200*log(2)^10*log(5)^3 - 9828*log(2)^2*log(5)^12 + 9876142080*log(2)^8*log(5)^6 + 857108044800*lo
g(2)^10*log(5)^4 + 4936942338048*log(2)^12*log(5)^2 + 504*log(2)^2*log(5)^13 - 940584960*log(2)^8*log(5)^7 - 1
14281072640*log(2)^10*log(5)^5 - 1097098297344*log(2)^12*log(5)^3 - 12*log(2)^2*log(5)^14 + 39191040*log(2)^8*
log(5)^8 + 6348948480*log(2)^10*log(5)^6 + 91424858112*log(2)^12*log(5)^4 + 182849716224*log(2)^14*log(5)^2) -
x^3*(714256704*log(2)^4*log(5) + 2380855680*log(2)^6*log(5) - 533311672320*log(2)^8*log(5) - 5942615777280*lo
g(2)^10*log(5) - 5790241013760*log(2)^12*log(5) - 609499054080*log(2)^14*log(5) - 178564176*log(2)^4 - 7142567
04*log(2)^6 + 199991877120*log(2)^8 + 2971307888640*log(2)^10 + 4342680760320*log(2)^12 + 914248581120*log(2)^
14 - 1309470624*log(2)^4*log(5)^2 + 1454967360*log(2)^4*log(5)^3 - 1091225520*log(2)^4*log(5)^4 - 3571283520*l
og(2)^6*log(5)^2 + 581986944*log(2)^4*log(5)^5 + 3174474240*log(2)^6*log(5)^3 - 226328256*log(2)^4*log(5)^6 -
1851776640*log(2)^6*log(5)^4 + 622196951040*log(2)^8*log(5)^2 + 64665216*log(2)^4*log(5)^7 + 740710656*log(2)^
6*log(5)^5 - 414797967360*log(2)^8*log(5)^3 - 13471920*log(2)^4*log(5)^8 - 205752960*log(2)^6*log(5)^6 + 17283
2486400*log(2)^8*log(5)^4 + 4952179814400*log(2)^10*log(5)^2 + 1995840*log(2)^4*log(5)^9 + 39191040*log(2)^6*l
og(5)^7 - 46088663040*log(2)^8*log(5)^5 - 2200968806400*log(2)^10*log(5)^3 - 199584*log(2)^4*log(5)^10 - 48988
80*log(2)^6*log(5)^8 + 7681443840*log(2)^8*log(5)^6 + 550242201600*log(2)^10*log(5)^4 + 2895120506880*log(2)^1
2*log(5)^2 + 12096*log(2)^4*log(5)^11 + 362880*log(2)^6*log(5)^9 - 731566080*log(2)^8*log(5)^7 - 73365626880*l
og(2)^10*log(5)^5 - 643360112640*log(2)^12*log(5)^3 - 336*log(2)^4*log(5)^12 - 12096*log(2)^6*log(5)^10 + 3048
1920*log(2)^8*log(5)^8 + 4075868160*log(2)^10*log(5)^6 + 53613342720*log(2)^12*log(5)^4 + 101583175680*log(2)^
14*log(5)^2) - 257132413440*log(2)^8*log(5) - 3702706753536*log(2)^10*log(5) - 4114118615040*log(2)^12*log(5)
- 470184984576*log(2)^14*log(5) - x^5*(793618560*log(2)^6*log(5) - 55024220160*log(2)^8*log(5) - 459663869952*
log(2)^10*log(5) - 406332702720*log(2)^12*log(5) - 40633270272*log(2)^14*log(5) - 238085568*log(2)^6 + 2063408
2560*log(2)^8 + 229831934976*log(2)^10 + 304749527040*log(2)^12 + 60949905408*log(2)^14 - 1190427840*log(2)^6*
log(5)^2 + 1058158080*log(2)^6*log(5)^3 - 617258880*log(2)^6*log(5)^4 + 64194923520*log(2)^8*log(5)^2 + 246903
552*log(2)^6*log(5)^5 - 42796615680*log(2)^8*log(5)^3 - 68584320*log(2)^6*log(5)^6 + 17831923200*log(2)^8*log(
5)^4 + 383053224960*log(2)^10*log(5)^2 + 13063680*log(2)^6*log(5)^7 - 4755179520*log(2)^8*log(5)^5 - 170245877
760*log(2)^10*log(5)^3 - 1632960*log(2)^6*log(5)^8 + 792529920*log(2)^8*log(5)^6 + 42561469440*log(2)^10*log(5
)^4 + 203166351360*log(2)^12*log(5)^2 + 120960*log(2)^6*log(5)^9 - 75479040*log(2)^8*log(5)^7 - 5674862592*log
(2)^10*log(5)^5 - 45148078080*log(2)^12*log(5)^3 - 4032*log(2)^6*log(5)^10 + 3144960*log(2)^8*log(5)^8 + 31527
0144*log(2)^10*log(5)^6 + 3762339840*log(2)^12*log(5)^4 + 6772211712*log(2)^14*log(5)^2) - x^7*(176359680*log(
2)^8 - 2821754880*log(2)^10*log(5) - 2257403904*log(2)^12*log(5) - 214990848*log(2)^14*log(5) - 470292480*log(
2)^8*log(5) + 1410877440*log(2)^10 + 1693052928*log(2)^12 + 322486272*log(2)^14 + 548674560*log(2)^8*log(5)^2
- 365783040*log(2)^8*log(5)^3 + 152409600*log(2)^8*log(5)^4 + 2351462400*log(2)^10*log(5)^2 - 40642560*log(2)^
8*log(5)^5 - 1045094400*log(2)^10*log(5)^3 + 6773760*log(2)^8*log(5)^6 + 261273600*log(2)^10*log(5)^4 + 112870
1952*log(2)^12*log(5)^2 - 645120*log(2)^8*log(5)^7 - 34836480*log(2)^10*log(5)^5 - 250822656*log(2)^12*log(5)^
3 + 26880*log(2)^8*log(5)^8 + 1935360*log(2)^10*log(5)^6 + 20901888*log(2)^12*log(5)^4 + 35831808*log(2)^14*lo
g(5)^2) + x^6*(88179840*log(2)^6*log(5) - 7759825920*log(2)^8*log(5) - 55024220160*log(2)^10*log(5) - 46276780
032*log(2)^12*log(5) - 4514807808*log(2)^14*log(5) - 26453952*log(2)^6 + 2909934720*log(2)^8 + 27512110080*log
(2)^10 + 34707585024*log(2)^12 + 6772211712*log(2)^14 - 132269760*log(2)^6*log(5)^2 + 117573120*log(2)^6*log(5
)^3 - 68584320*log(2)^6*log(5)^4 + 9053130240*log(2)^8*log(5)^2 + 27433728*log(2)^6*log(5)^5 - 6035420160*log(
2)^8*log(5)^3 - 7620480*log(2)^6*log(5)^6 + 2514758400*log(2)^8*log(5)^4 + 45853516800*log(2)^10*log(5)^2 + 14
51520*log(2)^6*log(5)^7 - 670602240*log(2)^8*log(5)^5 - 20379340800*log(2)^10*log(5)^3 - 181440*log(2)^6*log(5
)^8 + 111767040*log(2)^8*log(5)^6 + 5094835200*log(2)^10*log(5)^4 + 23138390016*log(2)^12*log(5)^2 + 13440*log
(2)^6*log(5)^9 - 10644480*log(2)^8*log(5)^7 - 679311360*log(2)^10*log(5)^5 - 5141864448*log(2)^12*log(5)^3 - 4
48*log(2)^6*log(5)^10 + 443520*log(2)^8*log(5)^8 + 37739520*log(2)^10*log(5)^6 + 428488704*log(2)^12*log(5)^4
+ 752467968*log(2)^14*log(5)^2) - 71744535*log(5)^2 + 111602610*log(5)^3 - (241805655*log(5)^4)/2 + 9642465504
0*log(2)^8 + 96722262*log(5)^5 - 59108049*log(5)^6 + 1851353376768*log(2)^10 + 28146690*log(5)^7 - (42220035*l
og(5)^8)/4 + 3085588961280*log(2)^12 + 3127410*log(5)^9 - 729729*log(5)^10 + 705277476864*log(2)^14 + 132678*l
og(5)^11 - (36855*log(5)^12)/2 + 1890*log(5)^13 - 135*log(5)^14 + 6*log(5)^15 - log(5)^16/8 + x^4*(119042784*l
og(2)^4*log(5) + 2380855680*log(2)^6*log(5) - 219038722560*log(2)^8*log(5) - 2133246689280*log(2)^10*log(5) -
1980871925760*log(2)^12*log(5) - 203166351360*log(2)^14*log(5) - 29760696*log(2)^4 - 714256704*log(2)^6 + 8213
9520960*log(2)^8 + 1066623344640*log(2)^10 + 1485653944320*log(2)^12 + 304749527040*log(2)^14 - 218245104*log(
2)^4*log(5)^2 + 242494560*log(2)^4*log(5)^3 - 181870920*log(2)^4*log(5)^4 - 3571283520*log(2)^6*log(5)^2 + 969
97824*log(2)^4*log(5)^5 + 3174474240*log(2)^6*log(5)^3 - 37721376*log(2)^4*log(5)^6 - 1851776640*log(2)^6*log(
5)^4 + 255545176320*log(2)^8*log(5)^2 + 10777536*log(2)^4*log(5)^7 + 740710656*log(2)^6*log(5)^5 - 17036345088
0*log(2)^8*log(5)^3 - 2245320*log(2)^4*log(5)^8 - 205752960*log(2)^6*log(5)^6 + 70984771200*log(2)^8*log(5)^4
+ 1777705574400*log(2)^10*log(5)^2 + 332640*log(2)^4*log(5)^9 + 39191040*log(2)^6*log(5)^7 - 18929272320*log(2
)^8*log(5)^5 - 790091366400*log(2)^10*log(5)^3 - 33264*log(2)^4*log(5)^10 - 4898880*log(2)^6*log(5)^8 + 315487
8720*log(2)^8*log(5)^6 + 197522841600*log(2)^10*log(5)^4 + 990435962880*log(2)^12*log(5)^2 + 2016*log(2)^4*log
(5)^11 + 362880*log(2)^6*log(5)^9 - 300464640*log(2)^8*log(5)^7 - 26336378880*log(2)^10*log(5)^5 - 22009688064
0*log(2)^12*log(5)^3 - 56*log(2)^4*log(5)^12 - 12096*log(2)^6*log(5)^10 + 12519360*log(2)^8*log(5)^8 + 1463132
160*log(2)^10*log(5)^6 + 18341406720*log(2)^12*log(5)^4 + 33861058560*log(2)^14*log(5)^2) + x^2*(89282088*log(
2)^2*log(5) + 1071385056*log(2)^4*log(5) - 799967508480*log(2)^8*log(5) - 9942453319680*log(2)^10*log(5) - 101
48159250432*log(2)^12*log(5) - 1097098297344*log(2)^14*log(5) - 19131876*log(2)^2 - 267846264*log(2)^4 + 29998
7815680*log(2)^8 + 4971226659840*log(2)^10 + 7611119437824*log(2)^12 + 1645647446016*log(2)^14 - 193444524*log
(2)^2*log(5)^2 + 257926032*log(2)^2*log(5)^3 - 236432196*log(2)^2*log(5)^4 - 1964205936*log(2)^4*log(5)^2 + 15
7621464*log(2)^2*log(5)^5 + 2182451040*log(2)^4*log(5)^3 - 78810732*log(2)^2*log(5)^6 - 1636838280*log(2)^4*lo
g(5)^4 + 30023136*log(2)^2*log(5)^7 + 872980416*log(2)^4*log(5)^5 - 8756748*log(2)^2*log(5)^8 - 339492384*log(
2)^4*log(5)^6 + 933295426560*log(2)^8*log(5)^2 + 1945944*log(2)^2*log(5)^9 + 96997824*log(2)^4*log(5)^7 - 6221
96951040*log(2)^8*log(5)^3 - 324324*log(2)^2*log(5)^10 - 20207880*log(2)^4*log(5)^8 + 259248729600*log(2)^8*lo
g(5)^4 + 8285377766400*log(2)^10*log(5)^2 + 39312*log(2)^2*log(5)^11 + 2993760*log(2)^4*log(5)^9 - 69132994560
*log(2)^8*log(5)^5 - 3682390118400*log(2)^10*log(5)^3 - 3276*log(2)^2*log(5)^12 - 299376*log(2)^4*log(5)^10 +
11522165760*log(2)^8*log(5)^6 + 920597529600*log(2)^10*log(5)^4 + 5074079625216*log(2)^12*log(5)^2 + 168*log(2
)^2*log(5)^13 + 18144*log(2)^4*log(5)^11 - 1097349120*log(2)^8*log(5)^7 - 122746337280*log(2)^10*log(5)^5 - 11
27573250048*log(2)^12*log(5)^3 - 4*log(2)^2*log(5)^14 - 504*log(2)^4*log(5)^12 + 45722880*log(2)^8*log(5)^8 +
6819240960*log(2)^10*log(5)^6 + 93964437504*log(2)^12*log(5)^4 + 182849716224*log(2)^14*log(5)^2) + 2999878156
80*log(2)^8*log(5)^2 - 199991877120*log(2)^8*log(5)^3 + 83329948800*log(2)^8*log(5)^4 + 3085588961280*log(2)^1
0*log(5)^2 - 22221319680*log(2)^8*log(5)^5 - 1371372871680*log(2)^10*log(5)^3 + 3703553280*log(2)^8*log(5)^6 +
342843217920*log(2)^10*log(5)^4 + 2057059307520*log(2)^12*log(5)^2 - 352719360*log(2)^8*log(5)^7 - 4571242905
6*log(2)^10*log(5)^5 - 457124290560*log(2)^12*log(5)^3 + 14696640*log(2)^8*log(5)^8 + 2539579392*log(2)^10*log
(5)^6 + 38093690880*log(2)^12*log(5)^4 + 78364164096*log(2)^14*log(5)^2 - 43046721/8)/(167215104*x^2*log(2)^16
- 111476736*x^3*log(2)^16 + 46448640*x^4*log(2)^16 - 12386304*x^5*log(2)^16 + 2064384*x^6*log(2)^16 - 196608*
x^7*log(2)^16 + 8192*x^8*log(2)^16 - 143327232*x*log(2)^16 + 53747712*log(2)^16) - x^3*((135*(21676032*log(2)^
14 - 14450688*log(2)^14*log(5) + 148635648*log(2)^16 + 2408448*log(2)^14*log(5)^2))/(8192*log(2)^16) - (1485*(
884736*log(2)^14 - 589824*log(2)^14*log(5) + 21233664*log(2)^16 + 98304*log(2)^14*log(5)^2))/(8192*log(2)^16)
- (9*(4644864*log(2)^12 + 232243200*log(2)^14 + 668860416*log(2)^16 + 3096576*log(2)^12*log(5)^2 - 688128*log(
2)^12*log(5)^3 + 57344*log(2)^12*log(5)^4 + 25804800*log(2)^14*log(5)^2 - 6193152*log(2)^12*log(5)*(25*log(2)^
2 + 1)))/(8192*log(2)^16) + (104509440*log(2)^12 + 1421328384*log(2)^14 + 2006581248*log(2)^16 + 69672960*log(
2)^12*log(5)^2 - 15482880*log(2)^12*log(5)^3 + 1290240*log(2)^12*log(5)^4 + 157925376*log(2)^14*log(5)^2 - 278
69184*log(2)^12*log(5)*(34*log(2)^2 + 5))/(24576*log(2)^16) + 2052864) + x^4*((4644864*log(2)^12 + 232243200*l
og(2)^14 + 668860416*log(2)^16 + 3096576*log(2)^12*log(5)^2 - 688128*log(2)^12*log(5)^3 + 57344*log(2)^12*log(
5)^4 + 25804800*log(2)^14*log(5)^2 - 6193152*log(2)^12*log(5)*(25*log(2)^2 + 1))/(32768*log(2)^16) + (405*(884
736*log(2)^14 - 589824*log(2)^14*log(5) + 21233664*log(2)^16 + 98304*log(2)^14*log(5)^2))/(32768*log(2)^16) -
(27*(21676032*log(2)^14 - 14450688*log(2)^14*log(5) + 148635648*log(2)^16 + 2408448*log(2)^14*log(5)^2))/(3276
8*log(2)^16) - 160380) + x^8

________________________________________________________________________________________

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(1/65536*(-344373768+65536*(8*x**16-216*x**15+2592*x**14-18144*x**13+81648*x**12-244944*x**11+489888*
x**10-629857*x**9+472419*x**8-157788*x**7+2268*x**6-10206*x**5+30618*x**4-61236*x**3+78732*x**2-59049*x+19683)
*ln(2)**16+16384*(432*x**14-10584*x**13+113400*x**12-694008*x**11+2653560*x**10-6491016*x**9+9920232*x**8-8660
520*x**7+3306744*x**6)*ln(2)**14+4096*(9072*x**12-204120*x**11+1959552*x**10-10410120*x**9+33067440*x**8-62828
136*x**7+66134880*x**6-29760696*x**5)*ln(2)**12+1024*(81648*x**10-1837080*x**9+16533720*x**8-77157360*x**7+198
404640*x**6-267846264*x**5+148803480*x**4)*ln(2)**10+256*(-5511240*x**7+66134880*x**6-297606960*x**5+595213920
*x**4-446410440*x**3)*ln(2)**8+64*(-6613488*x**6+29760696*x**5+89282088*x**4-624974616*x**3+803538792*x**2)*ln
(2)**6+16*(-59521392*x**4+267846264*x**3-803538792*x)*ln(2)**4+4*(-229582512*x**2+573956280*x+344373768)*ln(2)
**2+(4096*(112*x**12-2520*x**11+24192*x**10-128520*x**9+408240*x**8-775656*x**7+816480*x**6-367416*x**5)*ln(2)
**12+1024*(15120*x**10-340200*x**9+3061800*x**8-14288400*x**7+36741600*x**6-49601160*x**5+27556200*x**4)*ln(2)
**10+256*(-4762800*x**7+57153600*x**6-257191200*x**5+514382400*x**4-385786800*x**3)*ln(2)**8+64*(-17146080*x**
6+77157360*x**5+231472080*x**4-1620304560*x**3+2083248720*x**2)*ln(2)**6+16*(-363741840*x**4+1636838280*x**3-4
910514840*x)*ln(2)**4+4*(-2837186352*x**2+7092965880*x+4255779528)*ln(2)**2-7737780960)*ln(5)**4+(4096*(-1344*
x**12+30240*x**11-290304*x**10+1542240*x**9-4898880*x**8+9307872*x**7-9797760*x**6+4408992*x**5)*ln(2)**12+102
4*(-60480*x**10+1360800*x**9-12247200*x**8+57153600*x**7-146966400*x**6+198404640*x**5-110224800*x**4)*ln(2)**
10+256*(11430720*x**7-137168640*x**6+617258880*x**5-1234517760*x**4+925888320*x**3)*ln(2)**8+64*(29393280*x**6
-132269760*x**5-396809280*x**4+2777664960*x**3-3571283520*x**2)*ln(2)**6+16*(484989120*x**4-2182451040*x**3+65
47353120*x)*ln(2)**4+4*(3095112384*x**2-7737780960*x-4642668576)*ln(2)**2+7142567040)*ln(5)**3+(16384*(48*x**1
4-1176*x**13+12600*x**12-77112*x**11+294840*x**10-721224*x**9+1102248*x**8-962280*x**7+367416*x**6)*ln(2)**14+
4096*(6048*x**12-136080*x**11+1306368*x**10-6940080*x**9+22044960*x**8-41885424*x**7+44089920*x**6-19840464*x*
*5)*ln(2)**12+1024*(136080*x**10-3061800*x**9+27556200*x**8-128595600*x**7+330674400*x**6-446410440*x**5+24800
5800*x**4)*ln(2)**10+256*(-17146080*x**7+205752960*x**6-925888320*x**5+1851776640*x**4-1388832480*x**3)*ln(2)*
*8+64*(-33067440*x**6+148803480*x**5+446410440*x**4-3124873080*x**3+4017693960*x**2)*ln(2)**6+16*(-436490208*x
**4+1964205936*x**3-5892617808*x)*ln(2)**4+4*(-2321334288*x**2+5803335720*x+3482001432)*ln(2)**2-4591650240)*l
n(5)**2+(256*(20160*x**7-241920*x**6+1088640*x**5-2177280*x**4+1632960*x**3)*ln(2)**8+64*(362880*x**6-1632960*
x**5-4898880*x**4+34292160*x**3-44089920*x**2)*ln(2)**6+16*(21555072*x**4-96997824*x**3+290993472*x)*ln(2)**4+
4*(360277632*x**2-900694080*x-540416448)*ln(2)**2+1801388160)*ln(5)**7+(16384*(-288*x**14+7056*x**13-75600*x**
12+462672*x**11-1769040*x**10+4327344*x**9-6613488*x**8+5773680*x**7-2204496*x**6)*ln(2)**14+4096*(-12096*x**1
2+272160*x**11-2612736*x**10+13880160*x**9-44089920*x**8+83770848*x**7-88179840*x**6+39680928*x**5)*ln(2)**12+
1024*(-163296*x**10+3674160*x**9-33067440*x**8+154314720*x**7-396809280*x**6+535692528*x**5-297606960*x**4)*ln
(2)**10+256*(14696640*x**7-176359680*x**6+793618560*x**5-1587237120*x**4+1190427840*x**3)*ln(2)**8+64*(2204496
0*x**6-99202320*x**5-297606960*x**4+2083248720*x**3-2678462640*x**2)*ln(2)**6+16*(238085568*x**4-1071385056*x*
*3+3214155168*x)*ln(2)**4+4*(1071385056*x**2-2678462640*x-1607077584)*ln(2)**2+1836660096)*ln(5)+(1024*(112*x*
*10-2520*x**9+22680*x**8-105840*x**7+272160*x**6-367416*x**5+204120*x**4)*ln(2)**10+256*(-211680*x**7+2540160*
x**6-11430720*x**5+22861440*x**4-17146080*x**3)*ln(2)**8+64*(-1905120*x**6+8573040*x**5+25719120*x**4-18003384
0*x**3+231472080*x**2)*ln(2)**6+16*(-75442752*x**4+339492384*x**3-1018477152*x)*ln(2)**4+4*(-945728784*x**2+23
64321960*x+1418593176)*ln(2)**2-3782915136)*ln(5)**6+(1024*(-2016*x**10+45360*x**9-408240*x**8+1905120*x**7-48
98880*x**6+6613488*x**5-3674160*x**4)*ln(2)**10+256*(1270080*x**7-15240960*x**6+68584320*x**5-137168640*x**4+1
02876480*x**3)*ln(2)**8+64*(6858432*x**6-30862944*x**5-92588832*x**4+648121824*x**3-833299488*x**2)*ln(2)**6+1
6*(193995648*x**4-872980416*x**3+2618941248*x)*ln(2)**4+4*(1891457568*x**2-4728643920*x-2837186352)*ln(2)**2+6
190224768)*ln(5)**5+(4*(-48*x**2+120*x+72)*ln(2)**2-8640)*ln(5)**14+(4*(2016*x**2-5040*x-3024)*ln(2)**2+120960
)*ln(5)**13+(16*(-112*x**4+504*x**3-1512*x)*ln(2)**4+4*(-39312*x**2+98280*x+58968)*ln(2)**2-1179360)*ln(5)**12
+(16*(4032*x**4-18144*x**3+54432*x)*ln(2)**4+4*(471744*x**2-1179360*x-707616)*ln(2)**2+8491392)*ln(5)**11+(64*
(-112*x**6+504*x**5+1512*x**4-10584*x**3+13608*x**2)*ln(2)**6+16*(-66528*x**4+299376*x**3-898128*x)*ln(2)**4+4
*(-3891888*x**2+9729720*x+5837832)*ln(2)**2-46702656)*ln(5)**10+(64*(3360*x**6-15120*x**5-45360*x**4+317520*x*
*3-408240*x**2)*ln(2)**6+16*(665280*x**4-2993760*x**3+8981280*x)*ln(2)**4+4*(23351328*x**2-58378320*x-35026992
)*ln(2)**2+200154240)*ln(5)**9+(256*(-840*x**7+10080*x**6-45360*x**5+90720*x**4-68040*x**3)*ln(2)**8+64*(-4536
0*x**6+204120*x**5+612360*x**4-4286520*x**3+5511240*x**2)*ln(2)**6+16*(-4490640*x**4+20207880*x**3-60623640*x)
*ln(2)**4+4*(-105080976*x**2+262702440*x+157621464)*ln(2)**2-675520560)*ln(5)**8-8*ln(5)**16+384*ln(5)**15)/(x
**9-27*x**8+324*x**7-2268*x**6+10206*x**5-30618*x**4+61236*x**3-78732*x**2+59049*x-19683)/ln(2)**16,x)

[Out]

Timed out

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