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Integral de d{x}:
Integral de x(x-1)(x-2)
Integral de 1/(x*e^x)
Integral de 1/(x^2-x+1)
Integral de 1/(x^2+6*x+10)
Expresiones idénticas
arctan(t^ dos +t- dos)dt
arc tangente de (t al cuadrado más t menos 2)dt
arc tangente de (t en el grado dos más t menos dos)dt
arctan(t2+t-2)dt
arctant2+t-2dt
arctan(t²+t-2)dt
arctan(t en el grado 2+t-2)dt
arctant^2+t-2dt
Expresiones semejantes
arctan(t^2+t+2)dt
arctan(t^2-t-2)dt
Expresiones con funciones
arctan
arctanx/(x^4+8)
arctan4x
arctan(4x)
arctan(sqrt(sqrt(x)-1))
arctan(x)/(x)^(3/2)
dt
dt/tlnt
dt+5t
dt/1-sin(7t)
dt/(3-sqrt(5)*sin(t))
dt/[(1+t^2)t]

Resolución de integrales/ arctan/ arctan(t^2+t-2)dt

Integral de arctan(t^2+t-2)dt dx

Solución

Ha introducido [src]

  1                    
  /                    
 |                     
 |      / 2        \   
 |  atan\t  + t - 2/ dt
 |                     
/                      
0

$$\int\limits_{0}^{1} \operatorname{atan}{\left(\left(t^{2} + t\right) - 2 \right)}\, dt$$

Integral(atan(t^2 + t - 2), (t, 0, 1))

Respuesta (Indefinida) [src]

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         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 |     / 2        \                   |      4        2                        |  186785       874940*t    402308*t   1062344*t ||         / 2        \      /     9     \/ 97      |314054675    2   20241091*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      373219457*\/ 97      |232   98*\/ 97    196*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      185*\/ 2 *\/  -9 + \/ 97     1711*\/ 194 *\/  -9 + \/ 97     185*\/ 194 *\/  -9 + \/ 97  *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97   |   120469*\/ 97 *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      1707863*\/ 2 *\/  -9 + \/ 97     15807673*\/ 194 *\/  -9 + \/ 97     9065*\/ 2 *\/  -9 + \/ 97  *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      13639*\/ 194 *\/  -9 + \/ 97  *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97   |      /     9     \/ 97      |314054675    2   20241091*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      373219457*\/ 97      |232   196*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      98*\/ 97    1711*\/ 194 *\/  -9 + \/ 97     185*\/ 2 *\/  -9 + \/ 97     185*\/ 194 *\/  -9 + \/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97   |   15807673*\/ 194 *\/  -9 + \/ 97     1707863*\/ 2 *\/  -9 + \/ 97     120469*\/ 97 *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      9065*\/ 2 *\/  -9 + \/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      13639*\/ 194 *\/  -9 + \/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97   |        /    185    \/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      3*\/ 97       |                                                                                                                                                                    270048                                                                                                                                                                                                                                                                                                                  76048*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97                                                                                                                                                                                                                                                                                                                  38024*\/ 97                                                                                                                                                                                                                                                                                                                                       1655208*t                                                                                                                                                                                                                                                                                                                               35890*\/ 2 *\/  -9 + \/ 97                                                                                                                                                                                                                                                                                                                      15399*\/ 194 *\/  -9 + \/ 97                                                                                                                                                                                                                                                                                            555*\/ 194 *\/  -9 + \/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97                                                                                                                                   |        /    185    \/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      3*\/ 97       |                                                                                                                                                                    270048                                                                                                                                                                                                                                                                                                                                        38024*\/ 97                                                                                                                                                                                                                                                                                                                76048*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97                                                                                                                                                                                                                                                                                                                   1655208*t                                                                                                                                                                                                                                                                                                                              15399*\/ 194 *\/  -9 + \/ 97                                                                                                                                                                                                                                                                                                                      35890*\/ 2 *\/  -9 + \/ 97                                                                                                                                                                                                                                                                                             555*\/ 194 *\/  -9 + \/ 97  *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97                                                                                                                                   |
 | atan\t  + t - 2/ dt = C - 2*RootSum|1552*t  + 732*t  - 96*t + 25, t -> t*log|- ------ + t - --------- + -------- + ----------|| + t*atan\t  + t - 2/ +   /   - ---- + ------ *log|--------- + t  - ----------------------------------------------------------- + ---------------- + t*|--- + --------- + ------------------------------------------------------ + -------------------------- + ----------------------------- + -------------------------------------------------------------------------------| + ---------------------------------------------------------------- + ------------------------------ + --------------------------------- + ------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------| -   /   - ---- + ------ *log|--------- + t  + ----------------------------------------------------------- + ---------------- + t*|--- - ------------------------------------------------------ + --------- - ----------------------------- - -------------------------- + -------------------------------------------------------------------------------| - --------------------------------- - ------------------------------ - ---------------------------------------------------------------- + ------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------| + 2*  /     ---- - -------------------------------------------------- + -------- *atan|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 2*  /     ---- + -------------------------------------------------- + -------- *atan|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
 |                                    \                                        \  137663         137663     137663      137663  //                        \/      3104    3104      \588426444                                 1765279332                              1765279332        \711      2133                              2133                                       4266                          91956                                                    275868                                    /                               21793572                                          18198756                          1765279332                                                 4549689                                                                           147106611                                    /   \/      3104    3104      \588426444                                 1765279332                              1765279332        \711                            2133                               2133                 91956                          4266                                                   275868                                    /               1765279332                         18198756                                          21793572                                                                  4549689                                                                           147106611                                    /     \/      3104                          776                             3104        |                   _______________________________________________________________________                               _______________________________________________________________________                    _______________________________________________________________________                                                                         _______________________________________________________________________                               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4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   + 38024*\/  -9 + \/ 97  *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   - 185*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      - 881*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   + 38024*\/  -9 + \/ 97  *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   - 185*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      - 881*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   + 38024*\/  -9 + \/ 97  *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   - 185*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      - 881*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   + 38024*\/  -9 + \/ 97  *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   - 185*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      - 881*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   + 38024*\/  -9 + \/ 97  *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   - 185*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      - 881*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   + 38024*\/  -9 + \/ 97  *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   - 185*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97      - 881*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   + 38024*\/  -9 + \/ 97  *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97   - 185*\/ 194 *\/    185 - 4*\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97    + 3*\/ 97  *\/   481 + 44*\/ 97  + 2*\/ 194 *\/  -9 + \/ 97   /                                                                                       \- 38024*\/  -9 + \/ 97  *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     - 881*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     + 185*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97    *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      - 38024*\/  -9 + \/ 97  *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     - 881*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     + 185*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97    *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      - 38024*\/  -9 + \/ 97  *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     - 881*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     + 185*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97    *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      - 38024*\/  -9 + \/ 97  *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     - 881*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     + 185*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97    *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      - 38024*\/  -9 + \/ 97  *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     - 881*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     + 185*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97    *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      - 38024*\/  -9 + \/ 97  *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     - 881*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     + 185*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97    *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97      - 38024*\/  -9 + \/ 97  *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     - 881*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97     + 185*\/ 194 *\/    185 + 3*\/ 97  + 4*\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97    *\/   481 + 44*\/ 97  - 2*\/ 194 *\/  -9 + \/ 97   /

$$\int \operatorname{atan}{\left(\left(t^{2} + t\right) - 2 \right)}\, dt = C + t \operatorname{atan}{\left(\left(t^{2} + t\right) - 2 \right)} + \sqrt{- \frac{9}{3104} + \frac{\sqrt{97}}{3104}} \log{\left(t^{2} + t \left(\frac{185 \sqrt{2} \sqrt{-9 + \sqrt{97}}}{4266} + \frac{1711 \sqrt{194} \sqrt{-9 + \sqrt{97}}}{91956} + \frac{185 \sqrt{194} \sqrt{-9 + \sqrt{97}} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{275868} + \frac{232}{711} + \frac{98 \sqrt{97}}{2133} + \frac{196 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{2133}\right) - \frac{20241091 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{1765279332} + \frac{13639 \sqrt{194} \sqrt{-9 + \sqrt{97}} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{147106611} + \frac{9065 \sqrt{2} \sqrt{-9 + \sqrt{97}} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{4549689} + \frac{15807673 \sqrt{194} \sqrt{-9 + \sqrt{97}}}{1765279332} + \frac{1707863 \sqrt{2} \sqrt{-9 + \sqrt{97}}}{18198756} + \frac{314054675}{588426444} + \frac{120469 \sqrt{97} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{21793572} + \frac{373219457 \sqrt{97}}{1765279332} \right)} - \sqrt{- \frac{9}{3104} + \frac{\sqrt{97}}{3104}} \log{\left(t^{2} + t \left(- \frac{196 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{2133} - \frac{1711 \sqrt{194} \sqrt{-9 + \sqrt{97}}}{91956} - \frac{185 \sqrt{2} \sqrt{-9 + \sqrt{97}}}{4266} + \frac{185 \sqrt{194} \sqrt{-9 + \sqrt{97}} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{275868} + \frac{232}{711} + \frac{98 \sqrt{97}}{2133}\right) - \frac{120469 \sqrt{97} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{21793572} - \frac{1707863 \sqrt{2} \sqrt{-9 + \sqrt{97}}}{18198756} - \frac{15807673 \sqrt{194} \sqrt{-9 + \sqrt{97}}}{1765279332} + \frac{13639 \sqrt{194} \sqrt{-9 + \sqrt{97}} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{147106611} + \frac{9065 \sqrt{2} \sqrt{-9 + \sqrt{97}} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{4549689} + \frac{20241091 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{1765279332} + \frac{314054675}{588426444} + \frac{373219457 \sqrt{97}}{1765279332} \right)} + 2 \sqrt{\frac{3 \sqrt{97}}{3104} + \frac{\sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{776} + \frac{185}{3104}} \operatorname{atan}{\left(\frac{1655208 t}{- 38024 \sqrt{-9 + \sqrt{97}} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} - 881 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} + 185 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}} + \frac{35890 \sqrt{2} \sqrt{-9 + \sqrt{97}}}{- 38024 \sqrt{-9 + \sqrt{97}} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} - 881 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} + 185 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}} + \frac{15399 \sqrt{194} \sqrt{-9 + \sqrt{97}}}{- 38024 \sqrt{-9 + \sqrt{97}} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} - 881 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} + 185 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}} + \frac{555 \sqrt{194} \sqrt{-9 + \sqrt{97}} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{- 38024 \sqrt{-9 + \sqrt{97}} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} - 881 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} + 185 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}} + \frac{270048}{- 38024 \sqrt{-9 + \sqrt{97}} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} - 881 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} + 185 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}} + \frac{38024 \sqrt{97}}{- 38024 \sqrt{-9 + \sqrt{97}} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} - 881 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} + 185 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}} + \frac{76048 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{- 38024 \sqrt{-9 + \sqrt{97}} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} - 881 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} + 185 \sqrt{194} \sqrt{3 \sqrt{97} + 4 \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 185} \sqrt{- 2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}} \right)} + 2 \sqrt{- \frac{\sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{776} + \frac{3 \sqrt{97}}{3104} + \frac{185}{3104}} \operatorname{atan}{\left(\frac{1655208 t}{- 185 \sqrt{194} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} - 881 \sqrt{194} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} + 38024 \sqrt{-9 + \sqrt{97}} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185}} + \frac{38024 \sqrt{97}}{- 185 \sqrt{194} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} - 881 \sqrt{194} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} + 38024 \sqrt{-9 + \sqrt{97}} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185}} + \frac{270048}{- 185 \sqrt{194} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} - 881 \sqrt{194} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} + 38024 \sqrt{-9 + \sqrt{97}} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185}} + \frac{555 \sqrt{194} \sqrt{-9 + \sqrt{97}} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{- 185 \sqrt{194} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} - 881 \sqrt{194} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} + 38024 \sqrt{-9 + \sqrt{97}} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185}} - \frac{35890 \sqrt{2} \sqrt{-9 + \sqrt{97}}}{- 185 \sqrt{194} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} - 881 \sqrt{194} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} + 38024 \sqrt{-9 + \sqrt{97}} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185}} - \frac{15399 \sqrt{194} \sqrt{-9 + \sqrt{97}}}{- 185 \sqrt{194} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} - 881 \sqrt{194} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} + 38024 \sqrt{-9 + \sqrt{97}} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185}} - \frac{76048 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481}}{- 185 \sqrt{194} \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} - 881 \sqrt{194} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185} + 38024 \sqrt{-9 + \sqrt{97}} \sqrt{- 4 \sqrt{2 \sqrt{194} \sqrt{-9 + \sqrt{97}} + 44 \sqrt{97} + 481} + 3 \sqrt{97} + 185}} \right)} - 2 \operatorname{RootSum} {\left(1552 t^{4} + 732 t^{2} - 96 t + 25, \left( t \mapsto t \log{\left(\frac{1062344 t^{3}}{137663} - \frac{874940 t^{2}}{137663} + \frac{402308 t}{137663} + t - \frac{186785}{137663} \right)} \right)\right)}$$

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-0.786864314810961

-0.786864314810961

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Integral de arctan(t^2+t-2)dt dx

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