Sr Examen

Otras calculadoras

Resolución de integrales/ (x)^2/ cos(x)/ sin(x)/ 1/(5*sin(x)^2-3*cos(x)^2)

Integral de 1/(5*sin(x)^2-3*cos(x)^2) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                         
  /                         
 |                          
 |            1             
 |  --------------------- dx
 |       2           2      
 |  5*sin (x) - 3*cos (x)   
 |                          
/                           
0
∫0115sin⁡2(x)−3cos⁡2(x) dx\int\limits_{0}^{1} \frac{1}{5 \sin^{2}{\left(x \right)} - 3 \cos^{2}{\left(x \right)}}\, dx 
Integral(1/(5*sin(x)^2 - 3*cos(x)^2), (x, 0, 1))
Solución detallada

  1. Vuelva a escribir el integrando:

    15sin⁡2(x)−3cos⁡2(x)=−1−5sin⁡2(x)+3cos⁡2(x)\frac{1}{5 \sin^{2}{\left(x \right)} - 3 \cos^{2}{\left(x \right)}} = - \frac{1}{- 5 \sin^{2}{\left(x \right)} + 3 \cos^{2}{\left(x \right)}}

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

    ∫(−1−5sin⁡2(x)+3cos⁡2(x)) dx=−∫1−5sin⁡2(x)+3cos⁡2(x) dx\int \left(- \frac{1}{- 5 \sin^{2}{\left(x \right)} + 3 \cos^{2}{\left(x \right)}}\right)\, dx = - \int \frac{1}{- 5 \sin^{2}{\left(x \right)} + 3 \cos^{2}{\left(x \right)}}\, dx

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

      Pero la integral

      −70683log⁡(tan⁡(x2)−313−4103)16008013−410+506221013−410−223530log⁡(tan⁡(x2)−313−4103)16008013−410+506221013−410+223530log⁡(tan⁡(x2)+313−4103)16008013−410+506221013−410+70683log⁡(tan⁡(x2)+313−4103)16008013−410+506221013−410+7453013−410410+13log⁡(tan⁡(x2)−3410+133)16008013−410+506221013−410+2356313−410410+13log⁡(tan⁡(x2)−3410+133)16008013−410+506221013−410−2356313−410410+13log⁡(tan⁡(x2)+3410+133)16008013−410+506221013−410−7453013−410410+13log⁡(tan⁡(x2)+3410+133)16008013−410+506221013−410- \frac{7068 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2235 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2235 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{7068 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}}

    Por lo tanto, el resultado es: 223530log⁡(tan⁡(x2)−313−4103)16008013−410+506221013−410+70683log⁡(tan⁡(x2)−313−4103)16008013−410+506221013−410−70683log⁡(tan⁡(x2)+313−4103)16008013−410+506221013−410−223530log⁡(tan⁡(x2)+313−4103)16008013−410+506221013−410−2356313−410410+13log⁡(tan⁡(x2)−3410+133)16008013−410+506221013−410−7453013−410410+13log⁡(tan⁡(x2)−3410+133)16008013−410+506221013−410+7453013−410410+13log⁡(tan⁡(x2)+3410+133)16008013−410+506221013−410+2356313−410410+13log⁡(tan⁡(x2)+3410+133)16008013−410+506221013−410\frac{2235 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{7068 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{7068 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2235 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}}

  3. Ahora simplificar:

    74530log⁡(tan⁡(x2)−313−4103)2+11783log⁡(tan⁡(x2)−313−4103)−11783log⁡(tan⁡(x2)+313−4103)−74530log⁡(tan⁡(x2)+313−4103)2−11783log⁡(tan⁡(x2)−3410+133)−74530log⁡(tan⁡(x2)−3410+133)2+74530log⁡(tan⁡(x2)+3410+133)2+11783log⁡(tan⁡(x2)+3410+133)13−410(26680+843710)\frac{\frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{2} + 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} - 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} - \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{2} - 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} - \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{2} + \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{2} + 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{\sqrt{13 - 4 \sqrt{10}} \left(26680 + 8437 \sqrt{10}\right)}

  4. Añadimos la constante de integración:

    74530log⁡(tan⁡(x2)−313−4103)2+11783log⁡(tan⁡(x2)−313−4103)−11783log⁡(tan⁡(x2)+313−4103)−74530log⁡(tan⁡(x2)+313−4103)2−11783log⁡(tan⁡(x2)−3410+133)−74530log⁡(tan⁡(x2)−3410+133)2+74530log⁡(tan⁡(x2)+3410+133)2+11783log⁡(tan⁡(x2)+3410+133)13−410(26680+843710)+constant\frac{\frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{2} + 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} - 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} - \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{2} - 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} - \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{2} + \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{2} + 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{\sqrt{13 - 4 \sqrt{10}} \left(26680 + 8437 \sqrt{10}\right)}+ \mathrm{constant}

Respuesta:

74530log⁡(tan⁡(x2)−313−4103)2+11783log⁡(tan⁡(x2)−313−4103)−11783log⁡(tan⁡(x2)+313−4103)−74530log⁡(tan⁡(x2)+313−4103)2−11783log⁡(tan⁡(x2)−3410+133)−74530log⁡(tan⁡(x2)−3410+133)2+74530log⁡(tan⁡(x2)+3410+133)2+11783log⁡(tan⁡(x2)+3410+133)13−410(26680+843710)+constant\frac{\frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{2} + 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} - 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} - \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{2} - 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} - \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{2} + \frac{745 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{2} + 1178 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{\sqrt{13 - 4 \sqrt{10}} \left(26680 + 8437 \sqrt{10}\right)}+ \mathrm{constant}

Respuesta (Indefinida) [src] 
                                                     /         _______________         \                            /         _______________         \                          /           _______________         \                        /           _______________         \                                                           /           _______________         \                                                       /           _______________         \                                                       /         _______________         \                                                       /         _______________         \
                                                     |  ___   /          ____          |                            |  ___   /          ____          |                          |    ___   /          ____          |                        |    ___   /          ____          |                     _______________    _______________    |    ___   /          ____          |                 _______________    _______________    |    ___   /          ____          |                 _______________    _______________    |  ___   /          ____          |                 _______________    _______________    |  ___   /          ____          |
  /                                           ___    |\/ 3 *\/  13 - 4*\/ 10        /x\|                    ____    |\/ 3 *\/  13 - 4*\/ 10        /x\|                  ____    |  \/ 3 *\/  13 - 4*\/ 10        /x\|                 ___    |  \/ 3 *\/  13 - 4*\/ 10        /x\|              ___   /          ____    /          ____     |  \/ 3 *\/  13 + 4*\/ 10        /x\|         ____   /          ____    /          ____     |  \/ 3 *\/  13 + 4*\/ 10        /x\|         ____   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10        /x\|          ___   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10        /x\|
 |                                     7068*\/ 3 *log|------------------------ + tan|-||             2235*\/ 30 *log|------------------------ + tan|-||           2235*\/ 30 *log|- ------------------------ + tan|-||          7068*\/ 3 *log|- ------------------------ + tan|-||       2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|- ------------------------ + tan|-||   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|- ------------------------ + tan|-||   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------ + tan|-||   2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------ + tan|-||
 |           1                                       \           3                  \2//                            \           3                  \2//                          \             3                  \2//                        \             3                  \2//                                                           \             3                  \2//                                                       \             3                  \2//                                                       \           3                  \2//                                                       \           3                  \2//
 | --------------------- dx = C - ----------------------------------------------------------- - ----------------------------------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------- - ----------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------
 |      2           2                       _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________                            _______________                   _______________                                           _______________                   _______________                                          _______________                   _______________                                         _______________                   _______________              
 | 5*sin (x) - 3*cos (x)                   /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____                            /          ____            ____   /          ____                                           /          ____            ____   /          ____                                          /          ____            ____   /          ____                                         /          ____            ____   /          ____               
 |                                160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                    160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                   160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                 160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                
/
∫15sin⁡2(x)−3cos⁡2(x) dx=C+223530log⁡(tan⁡(x2)−313−4103)16008013−410+506221013−410+70683log⁡(tan⁡(x2)−313−4103)16008013−410+506221013−410−70683log⁡(tan⁡(x2)+313−4103)16008013−410+506221013−410−223530log⁡(tan⁡(x2)+313−4103)16008013−410+506221013−410−2356313−410410+13log⁡(tan⁡(x2)−3410+133)16008013−410+506221013−410−7453013−410410+13log⁡(tan⁡(x2)−3410+133)16008013−410+506221013−410+7453013−410410+13log⁡(tan⁡(x2)+3410+133)16008013−410+506221013−410+2356313−410410+13log⁡(tan⁡(x2)+3410+133)16008013−410+506221013−410\int \frac{1}{5 \sin^{2}{\left(x \right)} - 3 \cos^{2}{\left(x \right)}}\, dx = C + \frac{2235 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{7068 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{7068 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2235 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}}
Simplificar
Gráfica
0.001.000.100.200.300.400.500.600.700.800.90-50000100000
Trazar el gráfico f(x)
Respuesta [src] 
                  /          /         _______________\\                          /         _______________           \                        /          /         _______________\\                          /         _______________           \                              /         _______________\                              /           _______________           \                             /         _______________\                             /           _______________           \                                                       /          /                     _______________\\                                                       /         _______________\                                                    /          /                     _______________\\                                                       /         _______________\                                                    /          /         _______________\\                                                       /         _______________           \                                                    /          /         _______________\\                                                       /         _______________           \
                  |          |  ___   /          ____ ||                          |  ___   /          ____            |                        |          |  ___   /          ____ ||                          |  ___   /          ____            |                              |  ___   /          ____ |                              |    ___   /          ____            |                             |  ___   /          ____ |                             |    ___   /          ____            |                    _______________    _______________ |          |              ___   /          ____ ||                 _______________    _______________    |  ___   /          ____ |                 _______________    _______________ |          |              ___   /          ____ ||                 _______________    _______________    |  ___   /          ____ |                 _______________    _______________ |          |  ___   /          ____ ||                 _______________    _______________    |  ___   /          ____            |                 _______________    _______________ |          |  ___   /          ____ ||                 _______________    _______________    |  ___   /          ____            |
              ___ |          |\/ 3 *\/  13 - 4*\/ 10  ||                   ___    |\/ 3 *\/  13 - 4*\/ 10             |                   ____ |          |\/ 3 *\/  13 - 4*\/ 10  ||                  ____    |\/ 3 *\/  13 - 4*\/ 10             |                      ____    |\/ 3 *\/  13 - 4*\/ 10  |                      ____    |  \/ 3 *\/  13 - 4*\/ 10             |                      ___    |\/ 3 *\/  13 - 4*\/ 10  |                      ___    |  \/ 3 *\/  13 - 4*\/ 10             |             ___   /          ____    /          ____  |          |            \/ 3 *\/  13 + 4*\/ 10  ||          ___   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10  |         ____   /          ____    /          ____  |          |            \/ 3 *\/  13 + 4*\/ 10  ||         ____   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10  |         ____   /          ____    /          ____  |          |\/ 3 *\/  13 + 4*\/ 10  ||         ____   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10             |          ___   /          ____    /          ____  |          |\/ 3 *\/  13 + 4*\/ 10  ||          ___   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10             |
       7068*\/ 3 *|pi*I + log|------------------------||            7068*\/ 3 *log|------------------------ + tan(1/2)|            2235*\/ 30 *|pi*I + log|------------------------||           2235*\/ 30 *log|------------------------ + tan(1/2)|               2235*\/ 30 *log|------------------------|               2235*\/ 30 *log|- ------------------------ + tan(1/2)|               7068*\/ 3 *log|------------------------|               7068*\/ 3 *log|- ------------------------ + tan(1/2)|      2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *|pi*I + log|-tan(1/2) + ------------------------||   2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------|   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *|pi*I + log|-tan(1/2) + ------------------------||   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------|   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *|pi*I + log|------------------------||   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------ + tan(1/2)|   2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *|pi*I + log|------------------------||   2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------ + tan(1/2)|
                  \          \           3            //                          \           3                       /                        \          \           3            //                          \           3                       /                              \           3            /                              \             3                       /                             \           3            /                             \             3                       /                                                       \          \                       3            //                                                       \           3            /                                                    \          \                       3            //                                                       \           3            /                                                    \          \           3            //                                                       \           3                       /                                                    \          \           3            //                                                       \           3                       /
- ----------------------------------------------------------- - ----------------------------------------------------------- - ----------------------------------------------------------- - ----------------------------------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------- - --------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------
            _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________                                 _______________                   _______________                                          _______________                   _______________                                           _______________                   _______________                                          _______________                   _______________                                     _______________                   _______________                                          _______________                   _______________                                          _______________                   _______________                                          _______________                   _______________               
           /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____                                 /          ____            ____   /          ____                                          /          ____            ____   /          ____                                           /          ____            ____   /          ____                                          /          ____            ____   /          ____                                     /          ____            ____   /          ____                                          /          ____            ____   /          ____                                          /          ____            ____   /          ____                                          /          ____            ____   /          ____                
  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                         160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                   160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                             160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10
70683log⁡(−313−4103+tan⁡(12))16008013−410+506221013−410+223530log⁡(−313−4103+tan⁡(12))16008013−410+506221013−410+70683log⁡(313−4103)16008013−410+506221013−410−2356313−410410+13log⁡(3410+133)16008013−410+506221013−410+223530log⁡(313−4103)16008013−410+506221013−410−7453013−410410+13log⁡(3410+133)16008013−410+506221013−410−223530log⁡(313−4103+tan⁡(12))16008013−410+506221013−410−70683log⁡(313−4103+tan⁡(12))16008013−410+506221013−410+7453013−410410+13log⁡(tan⁡(12)+3410+133)16008013−410+506221013−410+2356313−410410+13log⁡(tan⁡(12)+3410+133)16008013−410+506221013−410−2356313−410410+13(log⁡(−tan⁡(12)+3410+133)+iπ)16008013−410+506221013−410−70683(log⁡(313−4103)+iπ)16008013−410+506221013−410−7453013−410410+13(log⁡(−tan⁡(12)+3410+133)+iπ)16008013−410+506221013−410−223530(log⁡(313−4103)+iπ)16008013−410+506221013−410+7453013−410410+13(log⁡(3410+133)+iπ)16008013−410+506221013−410+2356313−410410+13(log⁡(3410+133)+iπ)16008013−410+506221013−410\frac{7068 \sqrt{3} \log{\left(- \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} + \tan{\left(\frac{1}{2} \right)} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2235 \sqrt{30} \log{\left(- \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} + \tan{\left(\frac{1}{2} \right)} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{7068 \sqrt{3} \log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2235 \sqrt{30} \log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2235 \sqrt{30} \log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} + \tan{\left(\frac{1}{2} \right)} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{7068 \sqrt{3} \log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} + \tan{\left(\frac{1}{2} \right)} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{7068 \sqrt{3} \left(\log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2235 \sqrt{30} \left(\log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \left(\log{\left(\frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \left(\log{\left(\frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} 
=
= 
                  /          /         _______________\\                          /         _______________           \                        /          /         _______________\\                          /         _______________           \                              /         _______________\                              /           _______________           \                             /         _______________\                             /           _______________           \                                                       /          /                     _______________\\                                                       /         _______________\                                                    /          /                     _______________\\                                                       /         _______________\                                                    /          /         _______________\\                                                       /         _______________           \                                                    /          /         _______________\\                                                       /         _______________           \
                  |          |  ___   /          ____ ||                          |  ___   /          ____            |                        |          |  ___   /          ____ ||                          |  ___   /          ____            |                              |  ___   /          ____ |                              |    ___   /          ____            |                             |  ___   /          ____ |                             |    ___   /          ____            |                    _______________    _______________ |          |              ___   /          ____ ||                 _______________    _______________    |  ___   /          ____ |                 _______________    _______________ |          |              ___   /          ____ ||                 _______________    _______________    |  ___   /          ____ |                 _______________    _______________ |          |  ___   /          ____ ||                 _______________    _______________    |  ___   /          ____            |                 _______________    _______________ |          |  ___   /          ____ ||                 _______________    _______________    |  ___   /          ____            |
              ___ |          |\/ 3 *\/  13 - 4*\/ 10  ||                   ___    |\/ 3 *\/  13 - 4*\/ 10             |                   ____ |          |\/ 3 *\/  13 - 4*\/ 10  ||                  ____    |\/ 3 *\/  13 - 4*\/ 10             |                      ____    |\/ 3 *\/  13 - 4*\/ 10  |                      ____    |  \/ 3 *\/  13 - 4*\/ 10             |                      ___    |\/ 3 *\/  13 - 4*\/ 10  |                      ___    |  \/ 3 *\/  13 - 4*\/ 10             |             ___   /          ____    /          ____  |          |            \/ 3 *\/  13 + 4*\/ 10  ||          ___   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10  |         ____   /          ____    /          ____  |          |            \/ 3 *\/  13 + 4*\/ 10  ||         ____   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10  |         ____   /          ____    /          ____  |          |\/ 3 *\/  13 + 4*\/ 10  ||         ____   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10             |          ___   /          ____    /          ____  |          |\/ 3 *\/  13 + 4*\/ 10  ||          ___   /          ____    /          ____     |\/ 3 *\/  13 + 4*\/ 10             |
       7068*\/ 3 *|pi*I + log|------------------------||            7068*\/ 3 *log|------------------------ + tan(1/2)|            2235*\/ 30 *|pi*I + log|------------------------||           2235*\/ 30 *log|------------------------ + tan(1/2)|               2235*\/ 30 *log|------------------------|               2235*\/ 30 *log|- ------------------------ + tan(1/2)|               7068*\/ 3 *log|------------------------|               7068*\/ 3 *log|- ------------------------ + tan(1/2)|      2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *|pi*I + log|-tan(1/2) + ------------------------||   2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------|   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *|pi*I + log|-tan(1/2) + ------------------------||   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------|   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *|pi*I + log|------------------------||   745*\/ 30 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------ + tan(1/2)|   2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *|pi*I + log|------------------------||   2356*\/ 3 *\/  13 - 4*\/ 10  *\/  13 + 4*\/ 10  *log|------------------------ + tan(1/2)|
                  \          \           3            //                          \           3                       /                        \          \           3            //                          \           3                       /                              \           3            /                              \             3                       /                             \           3            /                             \             3                       /                                                       \          \                       3            //                                                       \           3            /                                                    \          \                       3            //                                                       \           3            /                                                    \          \           3            //                                                       \           3                       /                                                    \          \           3            //                                                       \           3                       /
- ----------------------------------------------------------- - ----------------------------------------------------------- - ----------------------------------------------------------- - ----------------------------------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------- - --------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------
            _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________             _______________                   _______________                                 _______________                   _______________                                          _______________                   _______________                                           _______________                   _______________                                          _______________                   _______________                                     _______________                   _______________                                          _______________                   _______________                                          _______________                   _______________                                          _______________                   _______________               
           /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____             /          ____            ____   /          ____                                 /          ____            ____   /          ____                                          /          ____            ____   /          ____                                           /          ____            ____   /          ____                                          /          ____            ____   /          ____                                     /          ____            ____   /          ____                                          /          ____            ____   /          ____                                          /          ____            ____   /          ____                                          /          ____            ____   /          ____                
  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10     160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                         160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                   160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                             160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10                                  160080*\/  13 - 4*\/ 10   + 50622*\/ 10 *\/  13 - 4*\/ 10
70683log⁡(−313−4103+tan⁡(12))16008013−410+506221013−410+223530log⁡(−313−4103+tan⁡(12))16008013−410+506221013−410+70683log⁡(313−4103)16008013−410+506221013−410−2356313−410410+13log⁡(3410+133)16008013−410+506221013−410+223530log⁡(313−4103)16008013−410+506221013−410−7453013−410410+13log⁡(3410+133)16008013−410+506221013−410−223530log⁡(313−4103+tan⁡(12))16008013−410+506221013−410−70683log⁡(313−4103+tan⁡(12))16008013−410+506221013−410+7453013−410410+13log⁡(tan⁡(12)+3410+133)16008013−410+506221013−410+2356313−410410+13log⁡(tan⁡(12)+3410+133)16008013−410+506221013−410−2356313−410410+13(log⁡(−tan⁡(12)+3410+133)+iπ)16008013−410+506221013−410−70683(log⁡(313−4103)+iπ)16008013−410+506221013−410−7453013−410410+13(log⁡(−tan⁡(12)+3410+133)+iπ)16008013−410+506221013−410−223530(log⁡(313−4103)+iπ)16008013−410+506221013−410+7453013−410410+13(log⁡(3410+133)+iπ)16008013−410+506221013−410+2356313−410410+13(log⁡(3410+133)+iπ)16008013−410+506221013−410\frac{7068 \sqrt{3} \log{\left(- \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} + \tan{\left(\frac{1}{2} \right)} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2235 \sqrt{30} \log{\left(- \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} + \tan{\left(\frac{1}{2} \right)} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{7068 \sqrt{3} \log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2235 \sqrt{30} \log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2235 \sqrt{30} \log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} + \tan{\left(\frac{1}{2} \right)} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{7068 \sqrt{3} \log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} + \tan{\left(\frac{1}{2} \right)} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{7068 \sqrt{3} \left(\log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2235 \sqrt{30} \left(\log{\left(\frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \left(\log{\left(\frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \left(\log{\left(\frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)} + i \pi\right)}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} 
-7068*sqrt(3)*(pi*i + log(sqrt(3)*sqrt(13 - 4*sqrt(10))/3))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) - 7068*sqrt(3)*log(sqrt(3)*sqrt(13 - 4*sqrt(10))/3 + tan(1/2))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) - 2235*sqrt(30)*(pi*i + log(sqrt(3)*sqrt(13 - 4*sqrt(10))/3))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) - 2235*sqrt(30)*log(sqrt(3)*sqrt(13 - 4*sqrt(10))/3 + tan(1/2))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) + 2235*sqrt(30)*log(sqrt(3)*sqrt(13 - 4*sqrt(10))/3)/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) + 2235*sqrt(30)*log(-sqrt(3)*sqrt(13 - 4*sqrt(10))/3 + tan(1/2))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) + 7068*sqrt(3)*log(sqrt(3)*sqrt(13 - 4*sqrt(10))/3)/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) + 7068*sqrt(3)*log(-sqrt(3)*sqrt(13 - 4*sqrt(10))/3 + tan(1/2))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) - 2356*sqrt(3)*sqrt(13 - 4*sqrt(10))*sqrt(13 + 4*sqrt(10))*(pi*i + log(-tan(1/2) + sqrt(3)*sqrt(13 + 4*sqrt(10))/3))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) - 2356*sqrt(3)*sqrt(13 - 4*sqrt(10))*sqrt(13 + 4*sqrt(10))*log(sqrt(3)*sqrt(13 + 4*sqrt(10))/3)/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) - 745*sqrt(30)*sqrt(13 - 4*sqrt(10))*sqrt(13 + 4*sqrt(10))*(pi*i + log(-tan(1/2) + sqrt(3)*sqrt(13 + 4*sqrt(10))/3))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) - 745*sqrt(30)*sqrt(13 - 4*sqrt(10))*sqrt(13 + 4*sqrt(10))*log(sqrt(3)*sqrt(13 + 4*sqrt(10))/3)/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) + 745*sqrt(30)*sqrt(13 - 4*sqrt(10))*sqrt(13 + 4*sqrt(10))*(pi*i + log(sqrt(3)*sqrt(13 + 4*sqrt(10))/3))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) + 745*sqrt(30)*sqrt(13 - 4*sqrt(10))*sqrt(13 + 4*sqrt(10))*log(sqrt(3)*sqrt(13 + 4*sqrt(10))/3 + tan(1/2))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) + 2356*sqrt(3)*sqrt(13 - 4*sqrt(10))*sqrt(13 + 4*sqrt(10))*(pi*i + log(sqrt(3)*sqrt(13 + 4*sqrt(10))/3))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10))) + 2356*sqrt(3)*sqrt(13 - 4*sqrt(10))*sqrt(13 + 4*sqrt(10))*log(sqrt(3)*sqrt(13 + 4*sqrt(10))/3 + tan(1/2))/(160080*sqrt(13 - 4*sqrt(10)) + 50622*sqrt(10)*sqrt(13 - 4*sqrt(10)))
Respuesta numérica [src] 
-0.379985424903156
-0.379985424903156

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

    © Sr Examen – Калькулятор