Sr Examen
Integral de 1/(2-3cosx^2) dx
Solución
Ha introducido
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1 / | | 1 | ------------- dx | 2 | 2 - 3*cos (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{2 - 3 \cos^{2}{\left(x \right)}}\, dx$$
Integral(1/(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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/ _____________ \ / _____________ \ / _____________ \ / _____________ \ _____________ _____________ / _____________ \ _____________ _____________ / _____________ \ _____________ _____________ / _____________ \ _____________ _____________ / _____________ \ / | / ___ /x\| | / ___ /x\| ___ | / ___ /x\| ___ | / ___ /x\| / ___ / ___ | / ___ /x\| / ___ / ___ | / ___ /x\| ___ / ___ / ___ | / ___ /x\| ___ / ___ / ___ | / ___ /x\| | 267*log|\/ 5 - 2*\/ 6 + tan|-|| 267*log|- \/ 5 - 2*\/ 6 + tan|-|| 109*\/ 6 *log|\/ 5 - 2*\/ 6 + tan|-|| 109*\/ 6 *log|- \/ 5 - 2*\/ 6 + tan|-|| 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log|- \/ 5 + 2*\/ 6 + tan|-|| 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log|\/ 5 + 2*\/ 6 + tan|-|| 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log|- \/ 5 + 2*\/ 6 + tan|-|| 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log|\/ 5 + 2*\/ 6 + tan|-|| | 1 \ \2// \ \2// \ \2// \ \2// \ \2// \ \2// \ \2// \ \2// | ------------- dx = C - -------------------------------------------------- + -------------------------------------------------- - -------------------------------------------------- + -------------------------------------------------- - ---------------------------------------------------------------------- + -------------------------------------------------------------------- - ---------------------------------------------------------------------------- + -------------------------------------------------------------------------- | 2 _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ | 2 - 3*cos (x) / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ | 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 /
$$\int \frac{1}{2 - 3 \cos^{2}{\left(x \right)}}\, dx = C + \frac{109 \sqrt{6} \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{5 - 2 \sqrt{6}} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{267 \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{5 - 2 \sqrt{6}} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{5 - 2 \sqrt{6}} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{5 - 2 \sqrt{6}} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}}$$
Gráfica
Respuesta
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/ / _____________\\ / _____________ \ / _____________\ / _____________ \ / / _____________\\ / _____________ \ / _____________\ / _____________ \ _____________ _____________ / / _____________ \\ _____________ _____________ / _____________\ _____________ _____________ / / _____________\\ _____________ _____________ / _____________ \ _____________ _____________ / / _____________ \\ _____________ _____________ / _____________\ _____________ _____________ / / _____________\\ _____________ _____________ / _____________ \
| | / ___ || | / ___ | | / ___ | | / ___ | ___ | | / ___ || ___ | / ___ | ___ | / ___ | ___ | / ___ | / ___ / ___ | | / ___ || / ___ / ___ | / ___ | / ___ / ___ | | / ___ || / ___ / ___ | / ___ | ___ / ___ / ___ | | / ___ || ___ / ___ / ___ | / ___ | ___ / ___ / ___ | | / ___ || ___ / ___ / ___ | / ___ |
267*\pi*I + log\\/ 5 - 2*\/ 6 // 267*log\\/ 5 - 2*\/ 6 + tan(1/2)/ 267*log\\/ 5 - 2*\/ 6 / 267*log\- \/ 5 - 2*\/ 6 + tan(1/2)/ 109*\/ 6 *\pi*I + log\\/ 5 - 2*\/ 6 // 109*\/ 6 *log\\/ 5 - 2*\/ 6 + tan(1/2)/ 109*\/ 6 *log\\/ 5 - 2*\/ 6 / 109*\/ 6 *log\- \/ 5 - 2*\/ 6 + tan(1/2)/ 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *\pi*I + log\\/ 5 + 2*\/ 6 - tan(1/2)// 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log\\/ 5 + 2*\/ 6 / 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *\pi*I + log\\/ 5 + 2*\/ 6 // 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log\\/ 5 + 2*\/ 6 + tan(1/2)/ 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *\pi*I + log\\/ 5 + 2*\/ 6 - tan(1/2)// 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log\\/ 5 + 2*\/ 6 / 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *\pi*I + log\\/ 5 + 2*\/ 6 // 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log\\/ 5 + 2*\/ 6 + tan(1/2)/
- -------------------------------------------------- - -------------------------------------------------- + -------------------------------------------------- + -------------------------------------------------- - -------------------------------------------------- - -------------------------------------------------- + -------------------------------------------------- + -------------------------------------------------- - ------------------------------------------------------------------------------- - ----------------------------------------------------------- + -------------------------------------------------------------------- + ---------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ----------------------------------------------------------------- + -------------------------------------------------------------------------- + ----------------------------------------------------------------------------
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
/ ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___
2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6
$$\frac{267 \log{\left(- \sqrt{5 - 2 \sqrt{6}} + \tan{\left(\frac{1}{2} \right)} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \log{\left(- \sqrt{5 - 2 \sqrt{6}} + \tan{\left(\frac{1}{2} \right)} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{267 \log{\left(\sqrt{5 - 2 \sqrt{6}} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \log{\left(\sqrt{5 - 2 \sqrt{6}} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \log{\left(\sqrt{5 - 2 \sqrt{6}} + \tan{\left(\frac{1}{2} \right)} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \log{\left(\sqrt{5 - 2 \sqrt{6}} + \tan{\left(\frac{1}{2} \right)} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\tan{\left(\frac{1}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\tan{\left(\frac{1}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \left(\log{\left(\sqrt{5 - 2 \sqrt{6}} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \left(\log{\left(\sqrt{5 - 2 \sqrt{6}} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \left(\log{\left(\sqrt{2 \sqrt{6} + 5} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \left(\log{\left(\sqrt{2 \sqrt{6} + 5} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}}$$
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/ / _____________\\ / _____________ \ / _____________\ / _____________ \ / / _____________\\ / _____________ \ / _____________\ / _____________ \ _____________ _____________ / / _____________ \\ _____________ _____________ / _____________\ _____________ _____________ / / _____________\\ _____________ _____________ / _____________ \ _____________ _____________ / / _____________ \\ _____________ _____________ / _____________\ _____________ _____________ / / _____________\\ _____________ _____________ / _____________ \
| | / ___ || | / ___ | | / ___ | | / ___ | ___ | | / ___ || ___ | / ___ | ___ | / ___ | ___ | / ___ | / ___ / ___ | | / ___ || / ___ / ___ | / ___ | / ___ / ___ | | / ___ || / ___ / ___ | / ___ | ___ / ___ / ___ | | / ___ || ___ / ___ / ___ | / ___ | ___ / ___ / ___ | | / ___ || ___ / ___ / ___ | / ___ |
267*\pi*I + log\\/ 5 - 2*\/ 6 // 267*log\\/ 5 - 2*\/ 6 + tan(1/2)/ 267*log\\/ 5 - 2*\/ 6 / 267*log\- \/ 5 - 2*\/ 6 + tan(1/2)/ 109*\/ 6 *\pi*I + log\\/ 5 - 2*\/ 6 // 109*\/ 6 *log\\/ 5 - 2*\/ 6 + tan(1/2)/ 109*\/ 6 *log\\/ 5 - 2*\/ 6 / 109*\/ 6 *log\- \/ 5 - 2*\/ 6 + tan(1/2)/ 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *\pi*I + log\\/ 5 + 2*\/ 6 - tan(1/2)// 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log\\/ 5 + 2*\/ 6 / 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *\pi*I + log\\/ 5 + 2*\/ 6 // 267*\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log\\/ 5 + 2*\/ 6 + tan(1/2)/ 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *\pi*I + log\\/ 5 + 2*\/ 6 - tan(1/2)// 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log\\/ 5 + 2*\/ 6 / 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *\pi*I + log\\/ 5 + 2*\/ 6 // 109*\/ 6 *\/ 5 - 2*\/ 6 *\/ 5 + 2*\/ 6 *log\\/ 5 + 2*\/ 6 + tan(1/2)/
- -------------------------------------------------- - -------------------------------------------------- + -------------------------------------------------- + -------------------------------------------------- - -------------------------------------------------- - -------------------------------------------------- + -------------------------------------------------- + -------------------------------------------------- - ------------------------------------------------------------------------------- - ----------------------------------------------------------- + -------------------------------------------------------------------- + ---------------------------------------------------------------------- - ------------------------------------------------------------------------------------- - ----------------------------------------------------------------- + -------------------------------------------------------------------------- + ----------------------------------------------------------------------------
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
/ ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___ / ___ ___ / ___
2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6 2376*\/ 5 - 2*\/ 6 + 970*\/ 6 *\/ 5 - 2*\/ 6
$$\frac{267 \log{\left(- \sqrt{5 - 2 \sqrt{6}} + \tan{\left(\frac{1}{2} \right)} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \log{\left(- \sqrt{5 - 2 \sqrt{6}} + \tan{\left(\frac{1}{2} \right)} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{267 \log{\left(\sqrt{5 - 2 \sqrt{6}} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \log{\left(\sqrt{5 - 2 \sqrt{6}} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \log{\left(\sqrt{5 - 2 \sqrt{6}} + \tan{\left(\frac{1}{2} \right)} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \log{\left(\sqrt{5 - 2 \sqrt{6}} + \tan{\left(\frac{1}{2} \right)} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\tan{\left(\frac{1}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \log{\left(\tan{\left(\frac{1}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)}}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{267 \left(\log{\left(\sqrt{5 - 2 \sqrt{6}} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \sqrt{2 \sqrt{6} + 5} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} - \frac{109 \sqrt{6} \left(\log{\left(\sqrt{5 - 2 \sqrt{6}} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{109 \sqrt{6} \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \left(\log{\left(\sqrt{2 \sqrt{6} + 5} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}} + \frac{267 \sqrt{5 - 2 \sqrt{6}} \sqrt{2 \sqrt{6} + 5} \left(\log{\left(\sqrt{2 \sqrt{6} + 5} \right)} + i \pi\right)}{2376 \sqrt{5 - 2 \sqrt{6}} + 970 \sqrt{6} \sqrt{5 - 2 \sqrt{6}}}$$
-267*(pi*i + log(sqrt(5 - 2*sqrt(6))))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) - 267*log(sqrt(5 - 2*sqrt(6)) + tan(1/2))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) + 267*log(sqrt(5 - 2*sqrt(6)))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) + 267*log(-sqrt(5 - 2*sqrt(6)) + tan(1/2))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) - 109*sqrt(6)*(pi*i + log(sqrt(5 - 2*sqrt(6))))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) - 109*sqrt(6)*log(sqrt(5 - 2*sqrt(6)) + tan(1/2))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) + 109*sqrt(6)*log(sqrt(5 - 2*sqrt(6)))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) + 109*sqrt(6)*log(-sqrt(5 - 2*sqrt(6)) + tan(1/2))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) - 267*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6))*(pi*i + log(sqrt(5 + 2*sqrt(6)) - tan(1/2)))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) - 267*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6))*log(sqrt(5 + 2*sqrt(6)))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) + 267*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6))*(pi*i + log(sqrt(5 + 2*sqrt(6))))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) + 267*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6))*log(sqrt(5 + 2*sqrt(6)) + tan(1/2))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) - 109*sqrt(6)*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6))*(pi*i + log(sqrt(5 + 2*sqrt(6)) - tan(1/2)))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) - 109*sqrt(6)*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6))*log(sqrt(5 + 2*sqrt(6)))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) + 109*sqrt(6)*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6))*(pi*i + log(sqrt(5 + 2*sqrt(6))))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6))) + 109*sqrt(6)*sqrt(5 - 2*sqrt(6))*sqrt(5 + 2*sqrt(6))*log(sqrt(5 + 2*sqrt(6)) + tan(1/2))/(2376*sqrt(5 - 2*sqrt(6)) + 970*sqrt(6)*sqrt(5 - 2*sqrt(6)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.