Sr Examen
Integral de 1/(5*sin(x)^2-3*cos(x)^2) dx
Solución
Ha introducido
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1 / | | 1 | --------------------- dx | 2 2 | 5*sin (x) - 3*cos (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{5 \sin^{2}{\left(x \right)} - 3 \cos^{2}{\left(x \right)}}\, dx$$
Integral(1/(5*sin(x)^2 - 3*cos(x)^2), (x, 0, 1))
Solución detallada
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Vuelva a escribir el integrando:
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La integral del producto de una función por una constante es la constante por la integral de esta función:
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No puedo encontrar los pasos en la búsqueda de esta integral.
Pero la integral
Por lo tanto, el resultado es:
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Ahora simplificar:
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Añadimos la constante de integración:
Respuesta:
Respuesta (Indefinida)
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/ _______________ \ / _______________ \ / _______________ \ / _______________ \ / _______________ \ / _______________ \ / _______________ \ / _______________ \
| ___ / ____ | | ___ / ____ | | ___ / ____ | | ___ / ____ | _______________ _______________ | ___ / ____ | _______________ _______________ | ___ / ____ | _______________ _______________ | ___ / ____ | _______________ _______________ | ___ / ____ |
/ ___ |\/ 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
/
$$\int \frac{1}{5 \sin^{2}{\left(x \right)} - 3 \cos^{2}{\left(x \right)}}\, dx = C + \frac{2235 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{7068 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{7068 \sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2235 \sqrt{30} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{13 - 4 \sqrt{10}}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} - \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{745 \sqrt{30} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}} + \frac{2356 \sqrt{3} \sqrt{13 - 4 \sqrt{10}} \sqrt{4 \sqrt{10} + 13} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{3} \sqrt{4 \sqrt{10} + 13}}{3} \right)}}{160080 \sqrt{13 - 4 \sqrt{10}} + 50622 \sqrt{10} \sqrt{13 - 4 \sqrt{10}}}$$
Gráfica
Respuesta
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/ / _______________\\ / _______________ \ / / _______________\\ / _______________ \ / _______________\ / _______________ \ / _______________\ / _______________ \ / / _______________\\ / _______________\ / / _______________\\ / _______________\ / / _______________\\ / _______________ \ / / _______________\\ / _______________ \
| | ___ / ____ || | ___ / ____ | | | ___ / ____ || | ___ / ____ | | ___ / ____ | | ___ / ____ | | ___ / ____ | | ___ / ____ | _______________ _______________ | | ___ / ____ || _______________ _______________ | ___ / ____ | _______________ _______________ | | ___ / ____ || _______________ _______________ | ___ / ____ | _______________ _______________ | | ___ / ____ || _______________ _______________ | ___ / ____ | _______________ _______________ | | ___ / ____ || _______________ _______________ | ___ / ____ |
___ | |\/ 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
$$\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}}}$$
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/ / _______________\\ / _______________ \ / / _______________\\ / _______________ \ / _______________\ / _______________ \ / _______________\ / _______________ \ / / _______________\\ / _______________\ / / _______________\\ / _______________\ / / _______________\\ / _______________ \ / / _______________\\ / _______________ \
| | ___ / ____ || | ___ / ____ | | | ___ / ____ || | ___ / ____ | | ___ / ____ | | ___ / ____ | | ___ / ____ | | ___ / ____ | _______________ _______________ | | ___ / ____ || _______________ _______________ | ___ / ____ | _______________ _______________ | | ___ / ____ || _______________ _______________ | ___ / ____ | _______________ _______________ | | ___ / ____ || _______________ _______________ | ___ / ____ | _______________ _______________ | | ___ / ____ || _______________ _______________ | ___ / ____ |
___ | |\/ 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
$$\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)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.