Sr Examen

Otras calculadoras

Resolución de integrales/ (-1)/((2*sqrt(2))*cos(x)+3)

Integral de (-1)/((2*sqrt(2))*cos(x)+3) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                      
  /                      
 |                       
 |         -1            
 |  ------------------ dx
 |      ___              
 |  2*\/ 2 *cos(x) + 3   
 |                       
/                        
0
∫01(−122cos⁡(x)+3) dx\int\limits_{0}^{1} \left(- \frac{1}{2 \sqrt{2} \cos{\left(x \right)} + 3}\right)\, dx 
Integral(-1/((2*sqrt(2))*cos(x) + 3), (x, 0, 1))
Solución detallada

  1. La integral del producto de una función por una constante es la constante por la integral de esta función:

    ∫(−122cos⁡(x)+3) dx=−∫122cos⁡(x)+3 dx\int \left(- \frac{1}{2 \sqrt{2} \cos{\left(x \right)} + 3}\right)\, dx = - \int \frac{1}{2 \sqrt{2} \cos{\left(x \right)} + 3}\, dx

    1. No puedo encontrar los pasos en la búsqueda de esta integral.

      Pero la integral

      1362725501650887306817ilog⁡(tan⁡(x2)−i122+17)−7942546277405390632803122+17+56162283326413211478982122+17−9635924431131821780882ilog⁡(tan⁡(x2)−i122+17)−7942546277405390632803122+17+56162283326413211478982122+17+9635924431131821780882ilog⁡(tan⁡(x2)+i122+17)−7942546277405390632803122+17+56162283326413211478982122+17−1362725501650887306817ilog⁡(tan⁡(x2)+i122+17)−7942546277405390632803122+17+56162283326413211478982122+17\frac{1362725501650887306817 i \log{\left(\tan{\left(\frac{x}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{963592443113182178088 \sqrt{2} i \log{\left(\tan{\left(\frac{x}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{963592443113182178088 \sqrt{2} i \log{\left(\tan{\left(\frac{x}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{1362725501650887306817 i \log{\left(\tan{\left(\frac{x}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}}

    Por lo tanto, el resultado es: 9635924431131821780882ilog⁡(tan⁡(x2)−i122+17)−7942546277405390632803122+17+56162283326413211478982122+17−1362725501650887306817ilog⁡(tan⁡(x2)−i122+17)−7942546277405390632803122+17+56162283326413211478982122+17+1362725501650887306817ilog⁡(tan⁡(x2)+i122+17)−7942546277405390632803122+17+56162283326413211478982122+17−9635924431131821780882ilog⁡(tan⁡(x2)+i122+17)−7942546277405390632803122+17+56162283326413211478982122+17\frac{963592443113182178088 \sqrt{2} i \log{\left(\tan{\left(\frac{x}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{1362725501650887306817 i \log{\left(\tan{\left(\frac{x}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{1362725501650887306817 i \log{\left(\tan{\left(\frac{x}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{963592443113182178088 \sqrt{2} i \log{\left(\tan{\left(\frac{x}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}}

  2. Ahora simplificar:

    i(−9635924431131821780882log⁡(tan⁡(x2)−−17−122)+1362725501650887306817log⁡(tan⁡(x2)−−17−122)−1362725501650887306817log⁡(tan⁡(x2)+−17−122)+9635924431131821780882log⁡(tan⁡(x2)+−17−122))(7942546277405390632803−56162283326413211478982)122+17\frac{i \left(- 963592443113182178088 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{-17 - 12 \sqrt{2}} \right)} + 1362725501650887306817 \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{-17 - 12 \sqrt{2}} \right)} - 1362725501650887306817 \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{-17 - 12 \sqrt{2}} \right)} + 963592443113182178088 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{-17 - 12 \sqrt{2}} \right)}\right)}{\left(7942546277405390632803 - 5616228332641321147898 \sqrt{2}\right) \sqrt{12 \sqrt{2} + 17}}

  3. Añadimos la constante de integración:

    i(−9635924431131821780882log⁡(tan⁡(x2)−−17−122)+1362725501650887306817log⁡(tan⁡(x2)−−17−122)−1362725501650887306817log⁡(tan⁡(x2)+−17−122)+9635924431131821780882log⁡(tan⁡(x2)+−17−122))(7942546277405390632803−56162283326413211478982)122+17+constant\frac{i \left(- 963592443113182178088 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{-17 - 12 \sqrt{2}} \right)} + 1362725501650887306817 \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{-17 - 12 \sqrt{2}} \right)} - 1362725501650887306817 \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{-17 - 12 \sqrt{2}} \right)} + 963592443113182178088 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{-17 - 12 \sqrt{2}} \right)}\right)}{\left(7942546277405390632803 - 5616228332641321147898 \sqrt{2}\right) \sqrt{12 \sqrt{2} + 17}}+ \mathrm{constant}

Respuesta:

i(−9635924431131821780882log⁡(tan⁡(x2)−−17−122)+1362725501650887306817log⁡(tan⁡(x2)−−17−122)−1362725501650887306817log⁡(tan⁡(x2)+−17−122)+9635924431131821780882log⁡(tan⁡(x2)+−17−122))(7942546277405390632803−56162283326413211478982)122+17+constant\frac{i \left(- 963592443113182178088 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{-17 - 12 \sqrt{2}} \right)} + 1362725501650887306817 \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{-17 - 12 \sqrt{2}} \right)} - 1362725501650887306817 \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{-17 - 12 \sqrt{2}} \right)} + 963592443113182178088 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{-17 - 12 \sqrt{2}} \right)}\right)}{\left(7942546277405390632803 - 5616228332641321147898 \sqrt{2}\right) \sqrt{12 \sqrt{2} + 17}}+ \mathrm{constant}

Respuesta (Indefinida) [src] 
                                                                           /       _______________         \                                                                /     _______________         \                                                                    /     _______________         \                                                                /       _______________         \             
  /                                                                        |      /           ___       /x\|                                                                |    /           ___       /x\|                                                             ___    |    /           ___       /x\|                                                         ___    |      /           ___       /x\|             
 |                                             1362725501650887306817*I*log|- I*\/  17 + 12*\/ 2   + tan|-||                                    1362725501650887306817*I*log|I*\/  17 + 12*\/ 2   + tan|-||                                   963592443113182178088*I*\/ 2 *log|I*\/  17 + 12*\/ 2   + tan|-||                               963592443113182178088*I*\/ 2 *log|- I*\/  17 + 12*\/ 2   + tan|-||             
 |        -1                                                               \                            \2//                                                                \                          \2//                                                                    \                          \2//                                                                \                            \2//             
 | ------------------ dx = C - --------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------
 |     ___                                                 _______________                                   _______________                               _______________                                   _______________                               _______________                                   _______________                               _______________                                   _______________
 | 2*\/ 2 *cos(x) + 3                                     /           ___                             ___   /           ___                               /           ___                             ___   /           ___                               /           ___                             ___   /           ___                               /           ___                             ___   /           ___ 
 |                             - 7942546277405390632803*\/  17 + 12*\/ 2   + 5616228332641321147898*\/ 2 *\/  17 + 12*\/ 2     - 7942546277405390632803*\/  17 + 12*\/ 2   + 5616228332641321147898*\/ 2 *\/  17 + 12*\/ 2     - 7942546277405390632803*\/  17 + 12*\/ 2   + 5616228332641321147898*\/ 2 *\/  17 + 12*\/ 2     - 7942546277405390632803*\/  17 + 12*\/ 2   + 5616228332641321147898*\/ 2 *\/  17 + 12*\/ 2  
/
∫(−122cos⁡(x)+3) dx=C+9635924431131821780882ilog⁡(tan⁡(x2)−i122+17)−7942546277405390632803122+17+56162283326413211478982122+17−1362725501650887306817ilog⁡(tan⁡(x2)−i122+17)−7942546277405390632803122+17+56162283326413211478982122+17+1362725501650887306817ilog⁡(tan⁡(x2)+i122+17)−7942546277405390632803122+17+56162283326413211478982122+17−9635924431131821780882ilog⁡(tan⁡(x2)+i122+17)−7942546277405390632803122+17+56162283326413211478982122+17\int \left(- \frac{1}{2 \sqrt{2} \cos{\left(x \right)} + 3}\right)\, dx = C + \frac{963592443113182178088 \sqrt{2} i \log{\left(\tan{\left(\frac{x}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{1362725501650887306817 i \log{\left(\tan{\left(\frac{x}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{1362725501650887306817 i \log{\left(\tan{\left(\frac{x}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{963592443113182178088 \sqrt{2} i \log{\left(\tan{\left(\frac{x}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 7942546277405390632803 \sqrt{12 \sqrt{2} + 17} + 5616228332641321147898 \sqrt{2} \sqrt{12 \sqrt{2} + 17}}
Simplificar
Gráfica
0.001.000.100.200.300.400.500.600.700.800.90-0.25-0.15
Trazar el gráfico f(x)
Respuesta [src] 
                                         /          /   _______________\\                                                                                                                                                   /            /   _______________\\                                                                                                                                                    /            /   _______________\\                                                                                                                                                   /          /   _______________\\                                                                                                        
                                         |pi*I      |  /           ___ ||                                                          /       _______________           \                                                      |  pi*I      |  /           ___ ||                                                          /     _______________           \                                                     ___ |  pi*I      |  /           ___ ||                                                          /     _______________           \                                                    ___ |pi*I      |  /           ___ ||                                                          /       _______________           \           
                   1180872205318713601*I*|---- + log\\/  17 + 12*\/ 2  /|                                                          |      /           ___            |                                1180872205318713601*I*|- ---- + log\\/  17 + 12*\/ 2  /|                                                          |    /           ___            |                              835002744095575440*I*\/ 2 *|- ---- + log\\/  17 + 12*\/ 2  /|                                                   ___    |    /           ___            |                             835002744095575440*I*\/ 2 *|---- + log\\/  17 + 12*\/ 2  /|                                                   ___    |      /           ___            |           
                                         \ 2                            /                                 1180872205318713601*I*log\- I*\/  17 + 12*\/ 2   + tan(1/2)/                                                      \   2                            /                                 1180872205318713601*I*log\I*\/  17 + 12*\/ 2   + tan(1/2)/                                                         \   2                            /                            835002744095575440*I*\/ 2 *log\I*\/  17 + 12*\/ 2   + tan(1/2)/                                                        \ 2                            /                            835002744095575440*I*\/ 2 *log\- I*\/  17 + 12*\/ 2   + tan(1/2)/           
- --------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------
                           _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________
                          /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___ 
  - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2
8350027440955754402ilog⁡(tan⁡(12)−i122+17)−6882627592338442563122+17+48667526429241535222122+17+1180872205318713601ilog⁡(tan⁡(12)+i122+17)−6882627592338442563122+17+48667526429241535222122+17+1180872205318713601i(log⁡(122+17)−iπ2)−6882627592338442563122+17+48667526429241535222122+17+8350027440955754402i(log⁡(122+17)+iπ2)−6882627592338442563122+17+48667526429241535222122+17−1180872205318713601i(log⁡(122+17)+iπ2)−6882627592338442563122+17+48667526429241535222122+17−8350027440955754402i(log⁡(122+17)−iπ2)−6882627592338442563122+17+48667526429241535222122+17−8350027440955754402ilog⁡(tan⁡(12)+i122+17)−6882627592338442563122+17+48667526429241535222122+17−1180872205318713601ilog⁡(tan⁡(12)−i122+17)−6882627592338442563122+17+48667526429241535222122+17\frac{835002744095575440 \sqrt{2} i \log{\left(\tan{\left(\frac{1}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{1180872205318713601 i \log{\left(\tan{\left(\frac{1}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{1180872205318713601 i \left(\log{\left(\sqrt{12 \sqrt{2} + 17} \right)} - \frac{i \pi}{2}\right)}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{835002744095575440 \sqrt{2} i \left(\log{\left(\sqrt{12 \sqrt{2} + 17} \right)} + \frac{i \pi}{2}\right)}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{1180872205318713601 i \left(\log{\left(\sqrt{12 \sqrt{2} + 17} \right)} + \frac{i \pi}{2}\right)}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{835002744095575440 \sqrt{2} i \left(\log{\left(\sqrt{12 \sqrt{2} + 17} \right)} - \frac{i \pi}{2}\right)}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{835002744095575440 \sqrt{2} i \log{\left(\tan{\left(\frac{1}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{1180872205318713601 i \log{\left(\tan{\left(\frac{1}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} 
=
= 
                                         /          /   _______________\\                                                                                                                                                   /            /   _______________\\                                                                                                                                                    /            /   _______________\\                                                                                                                                                   /          /   _______________\\                                                                                                        
                                         |pi*I      |  /           ___ ||                                                          /       _______________           \                                                      |  pi*I      |  /           ___ ||                                                          /     _______________           \                                                     ___ |  pi*I      |  /           ___ ||                                                          /     _______________           \                                                    ___ |pi*I      |  /           ___ ||                                                          /       _______________           \           
                   1180872205318713601*I*|---- + log\\/  17 + 12*\/ 2  /|                                                          |      /           ___            |                                1180872205318713601*I*|- ---- + log\\/  17 + 12*\/ 2  /|                                                          |    /           ___            |                              835002744095575440*I*\/ 2 *|- ---- + log\\/  17 + 12*\/ 2  /|                                                   ___    |    /           ___            |                             835002744095575440*I*\/ 2 *|---- + log\\/  17 + 12*\/ 2  /|                                                   ___    |      /           ___            |           
                                         \ 2                            /                                 1180872205318713601*I*log\- I*\/  17 + 12*\/ 2   + tan(1/2)/                                                      \   2                            /                                 1180872205318713601*I*log\I*\/  17 + 12*\/ 2   + tan(1/2)/                                                         \   2                            /                            835002744095575440*I*\/ 2 *log\I*\/  17 + 12*\/ 2   + tan(1/2)/                                                        \ 2                            /                            835002744095575440*I*\/ 2 *log\- I*\/  17 + 12*\/ 2   + tan(1/2)/           
- --------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------
                           _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________                            _______________                                _______________
                          /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___                            /           ___                          ___   /           ___ 
  - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2     - 6882627592338442563*\/  17 + 12*\/ 2   + 4866752642924153522*\/ 2 *\/  17 + 12*\/ 2
8350027440955754402ilog⁡(tan⁡(12)−i122+17)−6882627592338442563122+17+48667526429241535222122+17+1180872205318713601ilog⁡(tan⁡(12)+i122+17)−6882627592338442563122+17+48667526429241535222122+17+1180872205318713601i(log⁡(122+17)−iπ2)−6882627592338442563122+17+48667526429241535222122+17+8350027440955754402i(log⁡(122+17)+iπ2)−6882627592338442563122+17+48667526429241535222122+17−1180872205318713601i(log⁡(122+17)+iπ2)−6882627592338442563122+17+48667526429241535222122+17−8350027440955754402i(log⁡(122+17)−iπ2)−6882627592338442563122+17+48667526429241535222122+17−8350027440955754402ilog⁡(tan⁡(12)+i122+17)−6882627592338442563122+17+48667526429241535222122+17−1180872205318713601ilog⁡(tan⁡(12)−i122+17)−6882627592338442563122+17+48667526429241535222122+17\frac{835002744095575440 \sqrt{2} i \log{\left(\tan{\left(\frac{1}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{1180872205318713601 i \log{\left(\tan{\left(\frac{1}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{1180872205318713601 i \left(\log{\left(\sqrt{12 \sqrt{2} + 17} \right)} - \frac{i \pi}{2}\right)}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} + \frac{835002744095575440 \sqrt{2} i \left(\log{\left(\sqrt{12 \sqrt{2} + 17} \right)} + \frac{i \pi}{2}\right)}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{1180872205318713601 i \left(\log{\left(\sqrt{12 \sqrt{2} + 17} \right)} + \frac{i \pi}{2}\right)}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{835002744095575440 \sqrt{2} i \left(\log{\left(\sqrt{12 \sqrt{2} + 17} \right)} - \frac{i \pi}{2}\right)}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{835002744095575440 \sqrt{2} i \log{\left(\tan{\left(\frac{1}{2} \right)} + i \sqrt{12 \sqrt{2} + 17} \right)}}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} - \frac{1180872205318713601 i \log{\left(\tan{\left(\frac{1}{2} \right)} - i \sqrt{12 \sqrt{2} + 17} \right)}}{- 6882627592338442563 \sqrt{12 \sqrt{2} + 17} + 4866752642924153522 \sqrt{2} \sqrt{12 \sqrt{2} + 17}} 
-1180872205318713601*i*(pi*i/2 + log(sqrt(17 + 12*sqrt(2))))/(-6882627592338442563*sqrt(17 + 12*sqrt(2)) + 4866752642924153522*sqrt(2)*sqrt(17 + 12*sqrt(2))) - 1180872205318713601*i*log(-i*sqrt(17 + 12*sqrt(2)) + tan(1/2))/(-6882627592338442563*sqrt(17 + 12*sqrt(2)) + 4866752642924153522*sqrt(2)*sqrt(17 + 12*sqrt(2))) + 1180872205318713601*i*(-pi*i/2 + log(sqrt(17 + 12*sqrt(2))))/(-6882627592338442563*sqrt(17 + 12*sqrt(2)) + 4866752642924153522*sqrt(2)*sqrt(17 + 12*sqrt(2))) + 1180872205318713601*i*log(i*sqrt(17 + 12*sqrt(2)) + tan(1/2))/(-6882627592338442563*sqrt(17 + 12*sqrt(2)) + 4866752642924153522*sqrt(2)*sqrt(17 + 12*sqrt(2))) - 835002744095575440*i*sqrt(2)*(-pi*i/2 + log(sqrt(17 + 12*sqrt(2))))/(-6882627592338442563*sqrt(17 + 12*sqrt(2)) + 4866752642924153522*sqrt(2)*sqrt(17 + 12*sqrt(2))) - 835002744095575440*i*sqrt(2)*log(i*sqrt(17 + 12*sqrt(2)) + tan(1/2))/(-6882627592338442563*sqrt(17 + 12*sqrt(2)) + 4866752642924153522*sqrt(2)*sqrt(17 + 12*sqrt(2))) + 835002744095575440*i*sqrt(2)*(pi*i/2 + log(sqrt(17 + 12*sqrt(2))))/(-6882627592338442563*sqrt(17 + 12*sqrt(2)) + 4866752642924153522*sqrt(2)*sqrt(17 + 12*sqrt(2))) + 835002744095575440*i*sqrt(2)*log(-i*sqrt(17 + 12*sqrt(2)) + tan(1/2))/(-6882627592338442563*sqrt(17 + 12*sqrt(2)) + 4866752642924153522*sqrt(2)*sqrt(17 + 12*sqrt(2)))
Respuesta numérica [src] 
-0.186915276624842
-0.186915276624842

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

    © Sr Examen – Калькулятор