Sr Examen
Integral de (3x-2)/(x^3+2x+4) dx
Solución
Ha introducido
[src]
oo / | | 3*x - 2 | ------------ dx | 3 | x + 2*x + 4 | / 1
$$\int\limits_{1}^{\infty} \frac{3 x - 2}{\left(x^{3} + 2 x\right) + 4}\, dx$$
Integral((3*x - 2)/(x^3 + 2*x + 4), (x, 1, oo))
Respuesta (Indefinida)
[src]
/ 2\
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| | / 27 21*\/ 87 | | __________________________________________________________________________________________________________________________________________________________________________ / _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ \
| | 3 / --- + --------- | | / 2/3 _____________________ | _________________ _______________________ / _________________ _________________ _________________ _______________________ / _________________ _________________ 5/6 _______________________ / _________________ _________________ 5/6 _______________________ / _________________ _________________ _________________ _______________________ / _________________ _________________ _________________ _______________________ / _________________ _________________ _________________ _______________________ / _________________ _________________ |
| | \/ 232 1682 1 | | __________________________________________________ _________________ / / ____\ 3 / ____ 2/3 _________________ | ____ / ____ / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ ___ / ____ / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 5/6 3 ____ / ____\ / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 3 ___ 5/6 / ____\ / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ ____ 6 / ____ / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 6 ___ 2/3 6 / ____ / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ 2/3 6 ____ 6 / ____ / ____ / 3 / ____ 2/3 6 ____ ____ 3 / ____ |
| 261*|- ---------------------- + --------------------------| | / -1 6 / ____ / 14732931 ____ 4910977*\22707 + 2436*\/ 87 / 44198793*\/ 22707 + 2436*\/ 87 6 ____ / ____\ 5/6 3 / ____ | 22688584422*\/ 29 *\/ 261 + 28*\/ 87 *\/ 818235 + 87724*\/ 87 *\/ - 261*\/ 261 + 28*\/ 87 + 1567*87 + 14616*\/ 87 - 28*\/ 87 *\/ 261 + 28*\/ 87 70541675694*\/ 3 *\/ 261 + 28*\/ 87 *\/ 818235 + 87724*\/ 87 *\/ - 261*\/ 261 + 28*\/ 87 + 1567*87 + 14616*\/ 87 - 28*\/ 87 *\/ 261 + 28*\/ 87 7697955664*3 *\/ 29 *\261 + 28*\/ 87 / *\/ 818235 + 87724*\/ 87 *\/ - 261*\/ 261 + 28*\/ 87 + 1567*87 + 14616*\/ 87 - 28*\/ 87 *\/ 261 + 28*\/ 87 2475922428*\/ 3 *29 *\261 + 28*\/ 87 / *\/ 818235 + 87724*\/ 87 *\/ - 261*\/ 261 + 28*\/ 87 + 1567*87 + 14616*\/ 87 - 28*\/ 87 *\/ 261 + 28*\/ 87 56*x*\/ 29 *\/ 261 + 28*\/ 87 *\/ 818235 + 87724*\/ 87 *\/ - 261*\/ 261 + 28*\/ 87 + 1567*87 + 14616*\/ 87 - 28*\/ 87 *\/ 261 + 28*\/ 87 22688584422*\/ 3 *29 *\/ 261 + 28*\/ 87 *\/ 818235 + 87724*\/ 87 *\/ - 261*\/ 261 + 28*\/ 87 + 1567*87 + 14616*\/ 87 - 28*\/ 87 *\/ 261 + 28*\/ 87 70541675694*3 *\/ 29 *\/ 261 + 28*\/ 87 *\/ 818235 + 87724*\/ 87 *\/ - 261*\/ 261 + 28*\/ 87 + 1567*87 + 14616*\/ 87 - 28*\/ 87 *\/ 261 + 28*\/ 87 |
/ _________________ \ | _________________ | 3 _________________| | 6* / ------------------------------------------------ *\/ 261 + 28*\/ 87 * / - -------- - 98721*\/ 87 + -------------------------------- + --------------------------------- + 98721*\/ 87 *\261 + 28*\/ 87 / + 592326*87 *\/ 261 + 28*\/ 87 *atan|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 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| / ____ | | / ____ | / ____ | | / 4/3 \/ 16 464 8 | __________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________ 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/ / _________________ \ / / _________________ _________________ 2/3 2/3 \ 2/3 2/3 _________________ _________________ \ | / 27 21*\/ 87 | | / 27 21*\/ 87 | / 27 21*\/ 87 | | / / ____\ 6 ____ 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 2/3 _________________ _________________ |
| / / 2 \\ | / ____ | | | 6 ____ 3 / ____ 2/3 ____ 3 / ____ 5/6 / ____\ 3 ____ / ____\ | ____ 6 ____ / ____\ 2/3 / ____\ 5/6 3 / ____ 3 ____ 3 / ____ | | 3 / --- + --------- | | 29*3 / --- + --------- | 116*3 / --- + --------- | | \/ \261 + 28*\/ 87 / - 14616*\/ 87 - 1567*87 | 3 ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 5/6 / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 2/3 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 6 ____ 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 3 ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 5/6 / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 2/3 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 6 ____ 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 3 ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 5/6 / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 2/3 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 6 ____ 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 3 ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 5/6 / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 2/3 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 6 ____ 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 2/3 / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 3 ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 3 ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 5/6 / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 2/3 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 6 ____ 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 3 ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 5/6 / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ ____ / ____\ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 2/3 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ 6 ____ 3 / ____ / ____ 2/3 / ____\ 6 ____ / ____\ 5/6 3 / ____ 3 ____ 3 / ____ |
| 3*x - 2 | 3 |4 464*t 116*t|| | / 1 7*\/ 87 1 | | 2 1619350395216641097980974276956 | 46997782017*\/ 87 46997782017*\/ 261 + 28*\/ 87 5038691121*87 5038691121*\/ 87 *\/ 261 + 28*\/ 87 549853976*87 *\261 + 28*\/ 87 / 5128696458*\/ 87 *\261 + 28*\/ 87 / | 173612585700629796016626253056*\/ 87 6039154980651460160451806046*\/ 87 *\261 + 28*\/ 87 / 647465375458453076082520598*87 *\261 + 28*\/ 87 / 17633272521266456290045600894*87 *\/ 261 + 28*\/ 87 164472216752267341333562192310*\/ 87 *\/ 261 + 28*\/ 87 | | \/ 232 1682 1 | |3 \/ 232 1682 1 \ \/ 232 1682 / | \- 415557009477*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 44552387880*87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 203931982395*\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 21863803458*\/ 87 *\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 23484416631*87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 219048055758*\/ 87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 415557009477*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 44552387880*87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 203931982395*\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 21863803458*\/ 87 *\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 23484416631*87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 219048055758*\/ 87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 415557009477*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 44552387880*87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 203931982395*\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 21863803458*\/ 87 *\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 23484416631*87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 219048055758*\/ 87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 415557009477*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 44552387880*87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 203931982395*\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 21863803458*\/ 87 *\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 23484416631*87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 219048055758*\/ 87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 3*87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 29*\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 3*\/ 87 *\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 415557009477*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 44552387880*87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 203931982395*\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 21863803458*\/ 87 *\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 23484416631*87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 219048055758*\/ 87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 415557009477*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 - 44552387880*87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 203931982395*\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 21863803458*\/ 87 *\261 + 28*\/ 87 / *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 23484416631*87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 + 219048055758*\/ 87 *\/ 261 + 28*\/ 87 *\/ -427254999 - 45806544*\/ 87 + 4910977*87 *\261 + 28*\/ 87 / + 45806544*\/ 87 *\261 + 28*\/ 87 / + 274839264*87 *\/ 261 + 28*\/ 87 + 2563529994*\/ 87 *\/ 261 + 28*\/ 87 /
| ------------ dx = C - 2*RootSum|464*t - 6*t - 1, t -> t*log|- + x - ------ + -----|| + 3*|3 / ---- + -------- - ---------------------------|*log|x + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + x*|- ------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 3*|- ---------------------- + --------------------------|*log|-- + x - 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| 3 \ \9 9 9 // |\/ 1856 121104 _________________| | _________________ _________________ 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 _________________| |14 42 _________________ 7 | _______________________
| x + 2*x + 4 | / ____ | | ____ 3 ____ 3 / ____ 5/6 3 / ____ 2/3 / ____\ 6 ____ / ____\ | 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 ____ 3 / ____ 5/6 3 / ____ 2/3 / ____\ 6 ____ / ____\ ____ 3 ____ 3 / ____ 5/6 3 / ____ 2/3 / ____\ 6 ____ / ____\ ____ 3 ____ 3 / ____ 5/6 3 / ____ 2/3 / ____\ 6 ____ / ____\ ____ 3 ____ 3 / ____ 5/6 3 / ____ 2/3 / ____\ 6 ____ / ____\ ____ 3 ____ 3 / ____ 5/6 3 / ____ 2/3 / ____\ 6 ____ / ____\ | | / ____ | | / ____ | / ____
| | / 1 7*\/ 87 | \ 2429025592824961646971461415434 + 260418878550944694024939379584*\/ 87 - 13959917200143457741215295491*\/ 87 *\/ 261 + 28*\/ 87 - 1496660221557153413936433216*87 *\/ 261 + 28*\/ 87 + 26734603169922366574243575*87 *\261 + 28*\/ 87 / + 249363777599775716619204372*\/ 87 *\261 + 28*\/ 87 / \ - 430673082840*\/ 87 - 46173001053*87 + 7693044687*\/ 261 + 28*\/ 87 + 824780964*\/ 87 *\/ 261 + 28*\/ 87 - 430673082840*\/ 87 - 46173001053*87 + 7693044687*\/ 261 + 28*\/ 87 + 824780964*\/ 87 *\/ 261 + 28*\/ 87 - 430673082840*\/ 87 - 46173001053*87 + 7693044687*\/ 261 + 28*\/ 87 + 824780964*\/ 87 *\/ 261 + 28*\/ 87 - 430673082840*\/ 87 - 46173001053*87 + 7693044687*\/ 261 + 28*\/ 87 + 824780964*\/ 87 *\/ 261 + 28*\/ 87 - 430673082840*\/ 87 - 46173001053*87 + 7693044687*\/ 261 + 28*\/ 87 + 824780964*\/ 87 *\/ 261 + 28*\/ 87 - 430673082840*\/ 87 - 46173001053*87 + 7693044687*\/ 261 + 28*\/ 87 + 824780964*\/ 87 *\/ 261 + 28*\/ 87 / 2429025592824961646971461415434 + 260418878550944694024939379584*\/ 87 - 13959917200143457741215295491*\/ 87 *\/ 261 + 28*\/ 87 - 1496660221557153413936433216*87 *\/ 261 + 28*\/ 87 + 26734603169922366574243575*87 *\261 + 28*\/ 87 / + 249363777599775716619204372*\/ 87 *\261 + 28*\/ 87 / 2429025592824961646971461415434 + 260418878550944694024939379584*\/ 87 - 13959917200143457741215295491*\/ 87 *\/ 261 + 28*\/ 87 - 1496660221557153413936433216*87 *\/ 261 + 28*\/ 87 + 26734603169922366574243575*87 *\261 + 28*\/ 87 / + 249363777599775716619204372*\/ 87 *\261 + 28*\/ 87 / 2429025592824961646971461415434 + 260418878550944694024939379584*\/ 87 - 13959917200143457741215295491*\/ 87 *\/ 261 + 28*\/ 87 - 1496660221557153413936433216*87 *\/ 261 + 28*\/ 87 + 26734603169922366574243575*87 *\261 + 28*\/ 87 / + 249363777599775716619204372*\/ 87 *\261 + 28*\/ 87 / 2429025592824961646971461415434 + 260418878550944694024939379584*\/ 87 - 13959917200143457741215295491*\/ 87 *\/ 261 + 28*\/ 87 - 1496660221557153413936433216*87 *\/ 261 + 28*\/ 87 + 26734603169922366574243575*87 *\261 + 28*\/ 87 / + 249363777599775716619204372*\/ 87 *\261 + 28*\/ 87 / 2429025592824961646971461415434 + 260418878550944694024939379584*\/ 87 - 13959917200143457741215295491*\/ 87 *\/ 261 + 28*\/ 87 - 1496660221557153413936433216*87 *\/ 261 + 28*\/ 87 + 26734603169922366574243575*87 *\261 + 28*\/ 87 / + 249363777599775716619204372*\/ 87 *\261 + 28*\/ 87 / / | / 27 21*\/ 87 | | / 27 21*\/ 87 | \/ 818235 + 87724*\/ 87
/ | 1392*3 / ---- + -------- | | 116*3 / --- + --------- | | 56*3 / --- + --------- |
\ \/ 1856 121104 / \ \/ 232 1682 / \ \/ 232 1682 /
$$\int \frac{3 x - 2}{\left(x^{3} + 2 x\right) + 4}\, dx = C + 3 \left(- \frac{\sqrt[3]{\frac{27}{232} + \frac{21 \sqrt{87}}{1682}}}{3} + \frac{1}{116 \sqrt[3]{\frac{27}{232} + \frac{21 \sqrt{87}}{1682}}}\right) \log{\left(x - \frac{29 \sqrt[3]{\frac{27}{232} + \frac{21 \sqrt{87}}{1682}}}{42} + \frac{1}{56 \sqrt[3]{\frac{27}{232} + \frac{21 \sqrt{87}}{1682}}} + \frac{3}{14} + \frac{261 \left(- \frac{\sqrt[3]{\frac{27}{232} + \frac{21 \sqrt{87}}{1682}}}{3} + \frac{1}{116 \sqrt[3]{\frac{27}{232} + \frac{21 \sqrt{87}}{1682}}}\right)^{2}}{7} \right)} + 3 \left(- \frac{1}{1392 \sqrt[3]{\frac{1}{1856} + \frac{7 \sqrt{87}}{121104}}} + \sqrt[3]{\frac{1}{1856} + \frac{7 \sqrt{87}}{121104}}\right) \log{\left(x^{2} + x \left(\frac{549853976 \cdot 87^{\frac{5}{6}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}}}{- 430673082840 \sqrt[6]{87} - 46173001053 \cdot 87^{\frac{2}{3}} + 7693044687 \sqrt[3]{261 + 28 \sqrt{87}} + 824780964 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}}} + \frac{5128696458 \sqrt[3]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}}}{- 430673082840 \sqrt[6]{87} - 46173001053 \cdot 87^{\frac{2}{3}} + 7693044687 \sqrt[3]{261 + 28 \sqrt{87}} + 824780964 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}}} - \frac{46997782017 \sqrt[6]{87}}{- 430673082840 \sqrt[6]{87} - 46173001053 \cdot 87^{\frac{2}{3}} + 7693044687 \sqrt[3]{261 + 28 \sqrt{87}} + 824780964 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}}} - \frac{5038691121 \cdot 87^{\frac{2}{3}}}{- 430673082840 \sqrt[6]{87} - 46173001053 \cdot 87^{\frac{2}{3}} + 7693044687 \sqrt[3]{261 + 28 \sqrt{87}} + 824780964 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}}} - \frac{46997782017 \sqrt[3]{261 + 28 \sqrt{87}}}{- 430673082840 \sqrt[6]{87} - 46173001053 \cdot 87^{\frac{2}{3}} + 7693044687 \sqrt[3]{261 + 28 \sqrt{87}} + 824780964 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}}} - \frac{5038691121 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}}}{- 430673082840 \sqrt[6]{87} - 46173001053 \cdot 87^{\frac{2}{3}} + 7693044687 \sqrt[3]{261 + 28 \sqrt{87}} + 824780964 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}}}\right) - \frac{6039154980651460160451806046 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}}}{- 13959917200143457741215295491 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}} - 1496660221557153413936433216 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 249363777599775716619204372 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 26734603169922366574243575 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 2429025592824961646971461415434 + 260418878550944694024939379584 \sqrt{87}} - \frac{647465375458453076082520598 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}}}{- 13959917200143457741215295491 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}} - 1496660221557153413936433216 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 249363777599775716619204372 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 26734603169922366574243575 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 2429025592824961646971461415434 + 260418878550944694024939379584 \sqrt{87}} + \frac{1619350395216641097980974276956}{- 13959917200143457741215295491 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}} - 1496660221557153413936433216 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 249363777599775716619204372 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 26734603169922366574243575 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 2429025592824961646971461415434 + 260418878550944694024939379584 \sqrt{87}} + \frac{173612585700629796016626253056 \sqrt{87}}{- 13959917200143457741215295491 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}} - 1496660221557153413936433216 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 249363777599775716619204372 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 26734603169922366574243575 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 2429025592824961646971461415434 + 260418878550944694024939379584 \sqrt{87}} + \frac{17633272521266456290045600894 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}}}{- 13959917200143457741215295491 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}} - 1496660221557153413936433216 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 249363777599775716619204372 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 26734603169922366574243575 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 2429025592824961646971461415434 + 260418878550944694024939379584 \sqrt{87}} + \frac{164472216752267341333562192310 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}}{- 13959917200143457741215295491 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}} - 1496660221557153413936433216 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 249363777599775716619204372 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 26734603169922366574243575 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 2429025592824961646971461415434 + 260418878550944694024939379584 \sqrt{87}} \right)} + \frac{6 \sqrt{- \frac{1}{- 1567 \cdot 87^{\frac{2}{3}} - 14616 \sqrt[6]{87} + \left(261 + 28 \sqrt{87}\right)^{\frac{4}{3}}}} \sqrt[6]{261 + 28 \sqrt{87}} \sqrt{- \frac{14732931}{16} - 98721 \sqrt{87} + 98721 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + \frac{4910977 \left(22707 + 2436 \sqrt{87}\right)^{\frac{2}{3}}}{464} + 592326 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + \frac{44198793 \sqrt[3]{22707 + 2436 \sqrt{87}}}{8}} \operatorname{atan}{\left(\frac{56 \sqrt{29} x \sqrt[6]{261 + 28 \sqrt{87}} \sqrt{818235 + 87724 \sqrt{87}} \sqrt{- 28 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}} - 261 \sqrt[3]{261 + 28 \sqrt{87}} + 14616 \sqrt[6]{87} + 1567 \cdot 87^{\frac{2}{3}}}}{- 3 \cdot 87^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 29 \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 3 \sqrt[3]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}}} - \frac{7697955664 \sqrt[3]{29} \cdot 3^{\frac{5}{6}} \left(261 + 28 \sqrt{87}\right)^{\frac{5}{6}} \sqrt{818235 + 87724 \sqrt{87}} \sqrt{- 28 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}} - 261 \sqrt[3]{261 + 28 \sqrt{87}} + 14616 \sqrt[6]{87} + 1567 \cdot 87^{\frac{2}{3}}}}{- 415557009477 \sqrt[3]{87} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} - 44552387880 \cdot 87^{\frac{5}{6}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 23484416631 \cdot 87^{\frac{2}{3}} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 219048055758 \sqrt[6]{87} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 203931982395 \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 21863803458 \sqrt{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}}} - \frac{2475922428 \cdot 29^{\frac{5}{6}} \sqrt[3]{3} \left(261 + 28 \sqrt{87}\right)^{\frac{5}{6}} \sqrt{818235 + 87724 \sqrt{87}} \sqrt{- 28 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}} - 261 \sqrt[3]{261 + 28 \sqrt{87}} + 14616 \sqrt[6]{87} + 1567 \cdot 87^{\frac{2}{3}}}}{- 415557009477 \sqrt[3]{87} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} - 44552387880 \cdot 87^{\frac{5}{6}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 23484416631 \cdot 87^{\frac{2}{3}} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 219048055758 \sqrt[6]{87} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 203931982395 \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 21863803458 \sqrt{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}}} + \frac{22688584422 \cdot 29^{\frac{2}{3}} \sqrt[6]{3} \sqrt[6]{261 + 28 \sqrt{87}} \sqrt{818235 + 87724 \sqrt{87}} \sqrt{- 28 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}} - 261 \sqrt[3]{261 + 28 \sqrt{87}} + 14616 \sqrt[6]{87} + 1567 \cdot 87^{\frac{2}{3}}}}{- 415557009477 \sqrt[3]{87} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} - 44552387880 \cdot 87^{\frac{5}{6}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 23484416631 \cdot 87^{\frac{2}{3}} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 219048055758 \sqrt[6]{87} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 203931982395 \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 21863803458 \sqrt{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}}} + \frac{70541675694 \sqrt[6]{29} \cdot 3^{\frac{2}{3}} \sqrt[6]{261 + 28 \sqrt{87}} \sqrt{818235 + 87724 \sqrt{87}} \sqrt{- 28 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}} - 261 \sqrt[3]{261 + 28 \sqrt{87}} + 14616 \sqrt[6]{87} + 1567 \cdot 87^{\frac{2}{3}}}}{- 415557009477 \sqrt[3]{87} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} - 44552387880 \cdot 87^{\frac{5}{6}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 23484416631 \cdot 87^{\frac{2}{3}} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 219048055758 \sqrt[6]{87} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 203931982395 \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 21863803458 \sqrt{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}}} + \frac{22688584422 \sqrt{29} \sqrt{261 + 28 \sqrt{87}} \sqrt{818235 + 87724 \sqrt{87}} \sqrt{- 28 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}} - 261 \sqrt[3]{261 + 28 \sqrt{87}} + 14616 \sqrt[6]{87} + 1567 \cdot 87^{\frac{2}{3}}}}{- 415557009477 \sqrt[3]{87} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} - 44552387880 \cdot 87^{\frac{5}{6}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 23484416631 \cdot 87^{\frac{2}{3}} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 219048055758 \sqrt[6]{87} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 203931982395 \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 21863803458 \sqrt{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}}} + \frac{70541675694 \sqrt{3} \sqrt{261 + 28 \sqrt{87}} \sqrt{818235 + 87724 \sqrt{87}} \sqrt{- 28 \sqrt{87} \sqrt[3]{261 + 28 \sqrt{87}} - 261 \sqrt[3]{261 + 28 \sqrt{87}} + 14616 \sqrt[6]{87} + 1567 \cdot 87^{\frac{2}{3}}}}{- 415557009477 \sqrt[3]{87} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} - 44552387880 \cdot 87^{\frac{5}{6}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 23484416631 \cdot 87^{\frac{2}{3}} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 219048055758 \sqrt[6]{87} \sqrt[3]{261 + 28 \sqrt{87}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 203931982395 \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}} + 21863803458 \sqrt{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} \sqrt{-427254999 - 45806544 \sqrt{87} + 45806544 \sqrt[6]{87} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 4910977 \cdot 87^{\frac{2}{3}} \left(261 + 28 \sqrt{87}\right)^{\frac{2}{3}} + 274839264 \cdot 87^{\frac{5}{6}} \sqrt[3]{261 + 28 \sqrt{87}} + 2563529994 \sqrt[3]{87} \sqrt[3]{261 + 28 \sqrt{87}}}} \right)}}{\sqrt{818235 + 87724 \sqrt{87}}} - 2 \operatorname{RootSum} {\left(464 t^{3} - 6 t - 1, \left( t \mapsto t \log{\left(- \frac{464 t^{2}}{9} + \frac{116 t}{9} + x + \frac{4}{9} \right)} \right)\right)}$$
Gráfica
Respuesta
[src]
oo / | | -2 + 3*x | ------------ dx | 3 | 4 + x + 2*x | / 1
$$\int\limits_{1}^{\infty} \frac{3 x - 2}{x^{3} + 2 x + 4}\, dx$$
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oo / | | -2 + 3*x | ------------ dx | 3 | 4 + x + 2*x | / 1
$$\int\limits_{1}^{\infty} \frac{3 x - 2}{x^{3} + 2 x + 4}\, dx$$
Integral((-2 + 3*x)/(4 + x^3 + 2*x), (x, 1, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.