Sr Examen
Integral de 1/(x^4+2*x+1) dx
Solución
Ha introducido
[src]
oo / | | 1 | ------------ dx | 4 | x + 2*x + 1 | / 1
$$\int\limits_{1}^{\infty} \frac{1}{\left(x^{4} + 2 x\right) + 1}\, dx$$
Integral(1/(x^4 + 2*x + 1), (x, 1, oo))
Respuesta (Indefinida)
[src]
/ 2\
| / ________________ \ |
| | / ____ | |
| | / 27 57*\/ 33 | | / _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ \
| | 3 / -- + --------- | | _________________________________________________________________________________________________________________________________________________________________________ | 2/3 / ________________ ________________ / ________________ ________________ / ________________ ________________ 2/3 / ________________ ________________ ________________ / ________________ ________________ ________________ / ________________ ________________ ________________ / ________________ ________________ |
| | \/ 88 968 1 | | / ________________ ________________ 2/3 2/3 | / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / 3 / ____ 2/3 6 ____ ____ 3 / ____ 3 ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ ____ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 2/3 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 6 ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ |
| 220*|- --------------------- + ------------------------| | / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ | 523484599*\99 + 19*\/ 33 / *\/ - 215458*\/ 99 + 19*\/ 33 + 339747*33 + 1951699*\/ 33 - 37506*\/ 33 *\/ 99 + 19*\/ 33 2572850610*33 *\/ - 215458*\/ 99 + 19*\/ 33 + 339747*33 + 1951699*\/ 33 - 37506*\/ 33 *\/ 99 + 19*\/ 33 14779901906*\/ 33 *\/ - 215458*\/ 99 + 19*\/ 33 + 339747*33 + 1951699*\/ 33 - 37506*\/ 33 *\/ 99 + 19*\/ 33 91126983*\/ 33 *\99 + 19*\/ 33 / *\/ - 215458*\/ 99 + 19*\/ 33 + 339747*33 + 1951699*\/ 33 - 37506*\/ 33 *\/ 99 + 19*\/ 33 1254*x*\/ 99 + 19*\/ 33 *\/ - 215458*\/ 99 + 19*\/ 33 + 339747*33 + 1951699*\/ 33 - 37506*\/ 33 *\/ 99 + 19*\/ 33 182253966*33 *\/ 99 + 19*\/ 33 *\/ - 215458*\/ 99 + 19*\/ 33 + 339747*33 + 1951699*\/ 33 - 37506*\/ 33 *\/ 99 + 19*\/ 33 1046969198*\/ 33 *\/ 99 + 19*\/ 33 *\/ - 215458*\/ 99 + 19*\/ 33 + 339747*33 + 1951699*\/ 33 - 37506*\/ 33 *\/ 99 + 19*\/ 33 |
/ ________________ \ | ________________ | 3 ________________| | 2*\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / *atan|- ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 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/ / 2\\ / / 2 \\ | / ____ | | / ____ | / ____ | | | _________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________ 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/ | 3 2 |13 110*t 176*t || | 3 | 3 88*t 66*t|| / _________________ \ / / ________________ ________________ 2/3 2/3 \ 2/3 ________________ ________________ 2/3 \ | / 27 57*\/ 33 | | / 27 57*\/ 33 | / 27 57*\/ 33 | | | / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 2/3 / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 ________________ / ________________ ________________ 2/3 2/3 |
| RootSum|44*t - 44*t + 14*t - 1, t -> t*log|-- + x - ----- + ------|| 3*RootSum|44*t - 2*t - 1, t -> t*log|- -- + x - ----- + ----|| | / ____ | | | 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ | / ____\ 5/6 3 ____ 6 ____ 3 / ____ 2/3 3 / ____ ____ / ____\ | | 3 / -- + --------- | | 22*3 / -- + --------- | 11*3 / -- + --------- | | | 5/6 3 ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 3 ___ 5/6 / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ____ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ___ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 6 ___ 2/3 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 2/3 6 ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 5/6 3 ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 3 ___ 5/6 / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ____ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ___ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 6 ___ 2/3 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 2/3 6 ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 5/6 3 ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 3 ___ 5/6 / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ____ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ___ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 6 ___ 2/3 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 2/3 6 ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 5/6 3 ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 3 ___ 5/6 / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ____ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ___ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 6 ___ 2/3 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 2/3 6 ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 2/3 6 ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 3 ___ 5/6 / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 5/6 3 ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 3 ___ 5/6 / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ____ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ___ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 6 ___ 2/3 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 2/3 6 ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 5/6 3 ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 3 ___ 5/6 / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ____ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ ___ / ____\ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 6 ___ 2/3 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ 2/3 6 ____ 3 / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ |
| 1 \ \7 7 7 // log(1 + x) \ \ 17 17 17 // | / 1 19*\/ 33 1 | | 2 | 82655463*\/ 99 + 19*\/ 33 28776942*33 165310926*\/ 33 14388471*\/ 33 *\/ 99 + 19*\/ 33 1951699*33 *\99 + 19*\/ 33 / 11211651*\/ 33 *\99 + 19*\/ 33 / | 1481540026791394125259*\99 + 19*\/ 33 / 7527988362301150352318*33 43245000749648176406686*\/ 33 10700170505634418179008*\/ 33 *\/ 99 + 19*\/ 33 1862660599947133624256*33 *\/ 99 + 19*\/ 33 257903015068387664283*\/ 33 *\99 + 19*\/ 33 / | | \/ 88 968 1 | |7 \/ 88 968 2 \ \/ 88 968 / | \ - 2708263800*3 *\/ 11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 1414344680*\/ 3 *11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 154369783*\/ 11 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 295595597*\/ 3 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 281187745*\/ 3 *11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 538433467*3 *\/ 11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 2708263800*3 *\/ 11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 1414344680*\/ 3 *11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 154369783*\/ 11 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 295595597*\/ 3 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 281187745*\/ 3 *11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 538433467*3 *\/ 11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 2708263800*3 *\/ 11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 1414344680*\/ 3 *11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 154369783*\/ 11 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 295595597*\/ 3 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 281187745*\/ 3 *11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 538433467*3 *\/ 11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 2708263800*3 *\/ 11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 1414344680*\/ 3 *11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 154369783*\/ 11 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 295595597*\/ 3 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 281187745*\/ 3 *11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 538433467*3 *\/ 11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 220*3 *\/ 11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 33*\/ 11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 5*\/ 3 *11 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 2708263800*3 *\/ 11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 1414344680*\/ 3 *11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 154369783*\/ 11 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 295595597*\/ 3 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 281187745*\/ 3 *11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 538433467*3 *\/ 11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 2708263800*3 *\/ 11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / - 1414344680*\/ 3 *11 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 154369783*\/ 11 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 295595597*\/ 3 *\99 + 19*\/ 33 / *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 281187745*\/ 3 *11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / + 538433467*3 *\/ 11 *\/ 99 + 19*\/ 33 *\/ - 861832*\/ 99 + 19*\/ 33 + 1358988*33 + 7806796*\/ 33 - 150024*\/ 33 *\/ 99 + 19*\/ 33 + 56259*33 *\99 + 19*\/ 33 / + 323187*\/ 33 *\99 + 19*\/ 33 / /
| ------------ dx = C + ---------------------------------------------------------------------- - ---------- + --------------------------------------------------------------- - |3 / --- + --------- - --------------------------|*log|x + x*|- --------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - |- --------------------- + ------------------------|*log|-- + x - ------------------------ + ------------------------ + ---------------------------------------------------------| + 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| 4 2 2 2 |\/ 704 69696 _________________| | | ________________ ________________ ________________ ________________ ________________ ________________ ________________ ________________ ________________ ________________ ________________ ________________| 2/3 2/3 ________________ ________________ 2/3 2/3 ________________ ________________ 2/3 2/3 ________________ ________________ 2/3 2/3 ________________ ________________ 2/3 2/3 ________________ ________________ 2/3 2/3 ________________ ________________| | 3 ________________| |19 57 ________________ 19 | _________________________________________________________________________________________________________
| x + 2*x + 1 | / ____ | | | 6 ____ 2/3 3 / ____ ____ 3 / ____ 6 ____ 2/3 3 / ____ ____ 3 / ____ 6 ____ 2/3 3 / ____ ____ 3 / ____ 6 ____ 2/3 3 / ____ ____ 3 / ____ 6 ____ 2/3 3 / ____ ____ 3 / ____ 6 ____ 2/3 3 / ____ ____ 3 / ____ | 3 ____ 5/6 / ____\ ____ / ____\ 2/3 3 / ____ 6 ____ 3 / ____ 3 ____ 5/6 / ____\ ____ / ____\ 2/3 3 / ____ 6 ____ 3 / ____ 3 ____ 5/6 / ____\ ____ / ____\ 2/3 3 / ____ 6 ____ 3 / ____ 3 ____ 5/6 / ____\ ____ / ____\ 2/3 3 / ____ 6 ____ 3 / ____ 3 ____ 5/6 / ____\ ____ / ____\ 2/3 3 / ____ 6 ____ 3 / ____ 3 ____ 5/6 / ____\ ____ / ____\ 2/3 3 / ____ 6 ____ 3 / ____ | | / ____ | | / ____ | / ________________ ________________
| | / 1 19*\/ 33 | \ \ - 609359355*\/ 33 - 106075851*33 + 67269906*\/ 99 + 19*\/ 33 + 11710194*\/ 33 *\/ 99 + 19*\/ 33 - 609359355*\/ 33 - 106075851*33 + 67269906*\/ 99 + 19*\/ 33 + 11710194*\/ 33 *\/ 99 + 19*\/ 33 - 609359355*\/ 33 - 106075851*33 + 67269906*\/ 99 + 19*\/ 33 + 11710194*\/ 33 *\/ 99 + 19*\/ 33 - 609359355*\/ 33 - 106075851*33 + 67269906*\/ 99 + 19*\/ 33 + 11710194*\/ 33 *\/ 99 + 19*\/ 33 - 609359355*\/ 33 - 106075851*33 + 67269906*\/ 99 + 19*\/ 33 + 11710194*\/ 33 *\/ 99 + 19*\/ 33 - 609359355*\/ 33 - 106075851*33 + 67269906*\/ 99 + 19*\/ 33 + 11710194*\/ 33 *\/ 99 + 19*\/ 33 / - 56068664200041287982924*\/ 33 - 9760301636510339480716*33 + 4444620080374182375777*\99 + 19*\/ 33 / + 773709045205162992849*\/ 33 *\99 + 19*\/ 33 / + 1077483655848286636552*33 *\/ 99 + 19*\/ 33 + 6189672361641303942792*\/ 33 *\/ 99 + 19*\/ 33 - 56068664200041287982924*\/ 33 - 9760301636510339480716*33 + 4444620080374182375777*\99 + 19*\/ 33 / + 773709045205162992849*\/ 33 *\99 + 19*\/ 33 / + 1077483655848286636552*33 *\/ 99 + 19*\/ 33 + 6189672361641303942792*\/ 33 *\/ 99 + 19*\/ 33 - 56068664200041287982924*\/ 33 - 9760301636510339480716*33 + 4444620080374182375777*\99 + 19*\/ 33 / + 773709045205162992849*\/ 33 *\99 + 19*\/ 33 / + 1077483655848286636552*33 *\/ 99 + 19*\/ 33 + 6189672361641303942792*\/ 33 *\/ 99 + 19*\/ 33 - 56068664200041287982924*\/ 33 - 9760301636510339480716*33 + 4444620080374182375777*\99 + 19*\/ 33 / + 773709045205162992849*\/ 33 *\99 + 19*\/ 33 / + 1077483655848286636552*33 *\/ 99 + 19*\/ 33 + 6189672361641303942792*\/ 33 *\/ 99 + 19*\/ 33 - 56068664200041287982924*\/ 33 - 9760301636510339480716*33 + 4444620080374182375777*\99 + 19*\/ 33 / + 773709045205162992849*\/ 33 *\99 + 19*\/ 33 / + 1077483655848286636552*33 *\/ 99 + 19*\/ 33 + 6189672361641303942792*\/ 33 *\/ 99 + 19*\/ 33 - 56068664200041287982924*\/ 33 - 9760301636510339480716*33 + 4444620080374182375777*\99 + 19*\/ 33 / + 773709045205162992849*\/ 33 *\99 + 19*\/ 33 / + 1077483655848286636552*33 *\/ 99 + 19*\/ 33 + 6189672361641303942792*\/ 33 *\/ 99 + 19*\/ 33 / | / 27 57*\/ 33 | | / 27 57*\/ 33 | / 3 / ____ 2/3 6 ____ ____ 3 / ____
/ | 132*3 / --- + --------- | | 11*3 / -- + --------- | | 19*3 / -- + --------- | \/ - 37920608*\/ 99 + 19*\/ 33 + 59795472*33 + 343499024*\/ 33 - 6601056*\/ 33 *\/ 99 + 19*\/ 33
\ \/ 704 69696 / \ \/ 88 968 / \ \/ 88 968 /
$$\int \frac{1}{\left(x^{4} + 2 x\right) + 1}\, dx = C - \frac{\log{\left(x + 1 \right)}}{2} - \left(- \frac{\sqrt[3]{\frac{27}{88} + \frac{57 \sqrt{33}}{968}}}{3} + \frac{1}{11 \sqrt[3]{\frac{27}{88} + \frac{57 \sqrt{33}}{968}}}\right) \log{\left(x - \frac{22 \sqrt[3]{\frac{27}{88} + \frac{57 \sqrt{33}}{968}}}{57} + \frac{2}{19 \sqrt[3]{\frac{27}{88} + \frac{57 \sqrt{33}}{968}}} + \frac{7}{19} + \frac{220 \left(- \frac{\sqrt[3]{\frac{27}{88} + \frac{57 \sqrt{33}}{968}}}{3} + \frac{1}{11 \sqrt[3]{\frac{27}{88} + \frac{57 \sqrt{33}}{968}}}\right)^{2}}{19} \right)} - \left(- \frac{1}{132 \sqrt[3]{\frac{1}{704} + \frac{19 \sqrt{33}}{69696}}} + \sqrt[3]{\frac{1}{704} + \frac{19 \sqrt{33}}{69696}}\right) \log{\left(x^{2} + x \left(\frac{1951699 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}{- 106075851 \cdot 33^{\frac{2}{3}} - 609359355 \sqrt[6]{33} + 67269906 \sqrt[3]{99 + 19 \sqrt{33}} + 11710194 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}}} + \frac{11211651 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}{- 106075851 \cdot 33^{\frac{2}{3}} - 609359355 \sqrt[6]{33} + 67269906 \sqrt[3]{99 + 19 \sqrt{33}} + 11710194 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}}} + \frac{28776942 \cdot 33^{\frac{2}{3}}}{- 106075851 \cdot 33^{\frac{2}{3}} - 609359355 \sqrt[6]{33} + 67269906 \sqrt[3]{99 + 19 \sqrt{33}} + 11710194 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}}} + \frac{165310926 \sqrt[6]{33}}{- 106075851 \cdot 33^{\frac{2}{3}} - 609359355 \sqrt[6]{33} + 67269906 \sqrt[3]{99 + 19 \sqrt{33}} + 11710194 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}}} - \frac{82655463 \sqrt[3]{99 + 19 \sqrt{33}}}{- 106075851 \cdot 33^{\frac{2}{3}} - 609359355 \sqrt[6]{33} + 67269906 \sqrt[3]{99 + 19 \sqrt{33}} + 11710194 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}}} - \frac{14388471 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}}}{- 106075851 \cdot 33^{\frac{2}{3}} - 609359355 \sqrt[6]{33} + 67269906 \sqrt[3]{99 + 19 \sqrt{33}} + 11710194 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}}}\right) - \frac{10700170505634418179008 \sqrt[6]{33} \sqrt[3]{99 + 19 \sqrt{33}}}{- 56068664200041287982924 \sqrt[3]{33} - 9760301636510339480716 \cdot 33^{\frac{5}{6}} + 1077483655848286636552 \cdot 33^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} + 6189672361641303942792 \sqrt[6]{33} \sqrt[3]{99 + 19 \sqrt{33}} + 4444620080374182375777 \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 773709045205162992849 \sqrt{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} - \frac{1862660599947133624256 \cdot 33^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}}}{- 56068664200041287982924 \sqrt[3]{33} - 9760301636510339480716 \cdot 33^{\frac{5}{6}} + 1077483655848286636552 \cdot 33^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} + 6189672361641303942792 \sqrt[6]{33} \sqrt[3]{99 + 19 \sqrt{33}} + 4444620080374182375777 \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 773709045205162992849 \sqrt{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + \frac{1481540026791394125259 \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}{- 56068664200041287982924 \sqrt[3]{33} - 9760301636510339480716 \cdot 33^{\frac{5}{6}} + 1077483655848286636552 \cdot 33^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} + 6189672361641303942792 \sqrt[6]{33} \sqrt[3]{99 + 19 \sqrt{33}} + 4444620080374182375777 \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 773709045205162992849 \sqrt{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + \frac{257903015068387664283 \sqrt{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}{- 56068664200041287982924 \sqrt[3]{33} - 9760301636510339480716 \cdot 33^{\frac{5}{6}} + 1077483655848286636552 \cdot 33^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} + 6189672361641303942792 \sqrt[6]{33} \sqrt[3]{99 + 19 \sqrt{33}} + 4444620080374182375777 \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 773709045205162992849 \sqrt{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + \frac{7527988362301150352318 \cdot 33^{\frac{5}{6}}}{- 56068664200041287982924 \sqrt[3]{33} - 9760301636510339480716 \cdot 33^{\frac{5}{6}} + 1077483655848286636552 \cdot 33^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} + 6189672361641303942792 \sqrt[6]{33} \sqrt[3]{99 + 19 \sqrt{33}} + 4444620080374182375777 \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 773709045205162992849 \sqrt{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + \frac{43245000749648176406686 \sqrt[3]{33}}{- 56068664200041287982924 \sqrt[3]{33} - 9760301636510339480716 \cdot 33^{\frac{5}{6}} + 1077483655848286636552 \cdot 33^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} + 6189672361641303942792 \sqrt[6]{33} \sqrt[3]{99 + 19 \sqrt{33}} + 4444620080374182375777 \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 773709045205162992849 \sqrt{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} \right)} + \frac{2 \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} \operatorname{atan}{\left(- \frac{1254 x \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 215458 \sqrt[3]{99 + 19 \sqrt{33}} - 37506 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 339747 \cdot 33^{\frac{2}{3}} + 1951699 \sqrt[6]{33}}}{- 220 \sqrt[6]{11} \cdot 3^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 33 \sqrt{11} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 5 \cdot 11^{\frac{5}{6}} \sqrt[3]{3} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}} - \frac{91126983 \sqrt{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 215458 \sqrt[3]{99 + 19 \sqrt{33}} - 37506 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 339747 \cdot 33^{\frac{2}{3}} + 1951699 \sqrt[6]{33}}}{- 1414344680 \cdot 11^{\frac{5}{6}} \sqrt[3]{3} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} - 2708263800 \sqrt[3]{11} \cdot 3^{\frac{5}{6}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 538433467 \sqrt[6]{11} \cdot 3^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 281187745 \cdot 11^{\frac{2}{3}} \sqrt[6]{3} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 295595597 \sqrt{3} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 154369783 \sqrt{11} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}} - \frac{523484599 \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 215458 \sqrt[3]{99 + 19 \sqrt{33}} - 37506 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 339747 \cdot 33^{\frac{2}{3}} + 1951699 \sqrt[6]{33}}}{- 1414344680 \cdot 11^{\frac{5}{6}} \sqrt[3]{3} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} - 2708263800 \sqrt[3]{11} \cdot 3^{\frac{5}{6}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 538433467 \sqrt[6]{11} \cdot 3^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 281187745 \cdot 11^{\frac{2}{3}} \sqrt[6]{3} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 295595597 \sqrt{3} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 154369783 \sqrt{11} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}} + \frac{1046969198 \sqrt[6]{33} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 215458 \sqrt[3]{99 + 19 \sqrt{33}} - 37506 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 339747 \cdot 33^{\frac{2}{3}} + 1951699 \sqrt[6]{33}}}{- 1414344680 \cdot 11^{\frac{5}{6}} \sqrt[3]{3} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} - 2708263800 \sqrt[3]{11} \cdot 3^{\frac{5}{6}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 538433467 \sqrt[6]{11} \cdot 3^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 281187745 \cdot 11^{\frac{2}{3}} \sqrt[6]{3} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 295595597 \sqrt{3} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 154369783 \sqrt{11} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}} + \frac{182253966 \cdot 33^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 215458 \sqrt[3]{99 + 19 \sqrt{33}} - 37506 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 339747 \cdot 33^{\frac{2}{3}} + 1951699 \sqrt[6]{33}}}{- 1414344680 \cdot 11^{\frac{5}{6}} \sqrt[3]{3} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} - 2708263800 \sqrt[3]{11} \cdot 3^{\frac{5}{6}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 538433467 \sqrt[6]{11} \cdot 3^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 281187745 \cdot 11^{\frac{2}{3}} \sqrt[6]{3} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 295595597 \sqrt{3} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 154369783 \sqrt{11} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}} + \frac{2572850610 \cdot 33^{\frac{5}{6}} \sqrt{- 215458 \sqrt[3]{99 + 19 \sqrt{33}} - 37506 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 339747 \cdot 33^{\frac{2}{3}} + 1951699 \sqrt[6]{33}}}{- 1414344680 \cdot 11^{\frac{5}{6}} \sqrt[3]{3} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} - 2708263800 \sqrt[3]{11} \cdot 3^{\frac{5}{6}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 538433467 \sqrt[6]{11} \cdot 3^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 281187745 \cdot 11^{\frac{2}{3}} \sqrt[6]{3} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 295595597 \sqrt{3} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 154369783 \sqrt{11} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}} + \frac{14779901906 \sqrt[3]{33} \sqrt{- 215458 \sqrt[3]{99 + 19 \sqrt{33}} - 37506 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 339747 \cdot 33^{\frac{2}{3}} + 1951699 \sqrt[6]{33}}}{- 1414344680 \cdot 11^{\frac{5}{6}} \sqrt[3]{3} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} - 2708263800 \sqrt[3]{11} \cdot 3^{\frac{5}{6}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 538433467 \sqrt[6]{11} \cdot 3^{\frac{2}{3}} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 281187745 \cdot 11^{\frac{2}{3}} \sqrt[6]{3} \sqrt[3]{99 + 19 \sqrt{33}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 295595597 \sqrt{3} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}} + 154369783 \sqrt{11} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} \sqrt{- 861832 \sqrt[3]{99 + 19 \sqrt{33}} - 150024 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 1358988 \cdot 33^{\frac{2}{3}} + 7806796 \sqrt[6]{33} + 56259 \cdot 33^{\frac{5}{6}} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}} + 323187 \sqrt[3]{33} \left(99 + 19 \sqrt{33}\right)^{\frac{2}{3}}}} \right)}}{\sqrt{- 37920608 \sqrt[3]{99 + 19 \sqrt{33}} - 6601056 \sqrt{33} \sqrt[3]{99 + 19 \sqrt{33}} + 59795472 \cdot 33^{\frac{2}{3}} + 343499024 \sqrt[6]{33}}} + \frac{3 \operatorname{RootSum} {\left(44 t^{3} - 2 t - 1, \left( t \mapsto t \log{\left(- \frac{88 t^{2}}{17} + \frac{66 t}{17} + x - \frac{3}{17} \right)} \right)\right)}}{2} + \frac{\operatorname{RootSum} {\left(44 t^{3} - 44 t^{2} + 14 t - 1, \left( t \mapsto t \log{\left(\frac{176 t^{2}}{7} - \frac{110 t}{7} + x + \frac{13}{7} \right)} \right)\right)}}{2}$$
Gráfica
Respuesta
[src]
oo / | | 1 | ------------ dx | 4 | 1 + x + 2*x | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x^{4} + 2 x + 1}\, dx$$
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oo / | | 1 | ------------ dx | 4 | 1 + x + 2*x | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x^{4} + 2 x + 1}\, dx$$
Integral(1/(1 + x^4 + 2*x), (x, 1, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.