Sr Examen
Integral de 1/(3-4*sin^2x+7*cos^2x) dx
Solución
Ha introducido
[src]
1 / | | 1 | ------------------------- dx | 2 2 | 3 - 4*sin (x) + 7*cos (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(3 - 4 \sin^{2}{\left(x \right)}\right) + 7 \cos^{2}{\left(x \right)}}\, dx$$
Integral(1/(3 - 4*sin(x)^2 + 7*cos(x)^2), (x, 0, 1))
Respuesta
[src]
/ / ____________\\ / ____________\ / / ____________\\ / ____________\ / / ____________\\ / ____________ \ / / ____________\\ / ____________ \ / / ____________\\ / ____________ \ / / ____________\\ / ____________ \ / / ____________\\ / ____________\ / / ____________\\ / ____________\
| | ___ / ____ || | ___ / ____ | | | ___ / ____ || | ___ / ____ | | | ___ / ____ || | ___ / ____ | | | ___ / ____ || | ___ / ____ | ____________ ____________ | | ___ / ____ || ____________ ____________ | ___ / ____ | ____________ ____________ | | ___ / ____ || ____________ ____________ | ___ / ____ | ____________ ____________ | | ___ / ____ || ____________ ____________ | ___ / ____ | ____________ ____________ | | ___ / ____ || ____________ ____________ | ___ / ____ |
___ | | \/ 5 *\/ 6 - \/ 11 || ___ |\/ 5 *\/ 6 - \/ 11 | ____ | | \/ 5 *\/ 6 - \/ 11 || ____ |\/ 5 *\/ 6 - \/ 11 | ____ | |\/ 5 *\/ 6 - \/ 11 || ____ |\/ 5 *\/ 6 - \/ 11 | ___ | |\/ 5 *\/ 6 - \/ 11 || ___ |\/ 5 *\/ 6 - \/ 11 | ___ / ____ / ____ | |\/ 5 *\/ 6 + \/ 11 || ___ / ____ / ____ |\/ 5 *\/ 6 + \/ 11 | ____ / ____ / ____ | |\/ 5 *\/ 6 + \/ 11 || ____ / ____ / ____ |\/ 5 *\/ 6 + \/ 11 | ____ / ____ / ____ | | \/ 5 *\/ 6 + \/ 11 || ____ / ____ / ____ |\/ 5 *\/ 6 + \/ 11 | ___ / ____ / ____ | | \/ 5 *\/ 6 + \/ 11 || ___ / ____ / ____ |\/ 5 *\/ 6 + \/ 11 |
3245*\/ 5 *|pi*I + log|-tan(1/2) + ---------------------|| 3245*\/ 5 *log|---------------------| 895*\/ 55 *|pi*I + log|-tan(1/2) + ---------------------|| 895*\/ 55 *log|---------------------| 895*\/ 55 *|pi*I + log|---------------------|| 895*\/ 55 *log|--------------------- + tan(1/2)| 3245*\/ 5 *|pi*I + log|---------------------|| 3245*\/ 5 *log|--------------------- + tan(1/2)| 649*\/ 5 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *|pi*I + log|---------------------|| 649*\/ 5 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *log|--------------------- + tan(1/2)| 179*\/ 55 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *|pi*I + log|---------------------|| 179*\/ 55 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *log|--------------------- + tan(1/2)| 179*\/ 55 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *|pi*I + log|-tan(1/2) + ---------------------|| 179*\/ 55 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *log|---------------------| 649*\/ 5 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *|pi*I + log|-tan(1/2) + ---------------------|| 649*\/ 5 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *log|---------------------|
\ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 /
- ---------------------------------------------------------- - --------------------------------------------------- - ---------------------------------------------------------- - --------------------------------------------------- + --------------------------------------------------- + --------------------------------------------------- + --------------------------------------------------- + --------------------------------------------------- - ----------------------------------------------------------------------------- - ------------------------------------------------------------------------------- - ------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------ + --------------------------------------------------------------------- + ----------------------------------------------------------------------------------------- + --------------------------------------------------------------------
____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________
/ ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____
26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11
$$- \frac{649 \sqrt{5} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{179 \sqrt{55} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{895 \sqrt{55} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{3245 \sqrt{5} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{179 \sqrt{55} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \log{\left(\frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{895 \sqrt{55} \log{\left(\frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{3245 \sqrt{5} \log{\left(\frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{649 \sqrt{5} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \log{\left(\frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{649 \sqrt{5} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \left(\log{\left(\frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{3245 \sqrt{5} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{895 \sqrt{55} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{179 \sqrt{55} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \left(\log{\left(\frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{179 \sqrt{55} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{895 \sqrt{55} \left(\log{\left(\frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{3245 \sqrt{5} \left(\log{\left(\frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{649 \sqrt{5} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}}$$
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/ / ____________\\ / ____________\ / / ____________\\ / ____________\ / / ____________\\ / ____________ \ / / ____________\\ / ____________ \ / / ____________\\ / ____________ \ / / ____________\\ / ____________ \ / / ____________\\ / ____________\ / / ____________\\ / ____________\
| | ___ / ____ || | ___ / ____ | | | ___ / ____ || | ___ / ____ | | | ___ / ____ || | ___ / ____ | | | ___ / ____ || | ___ / ____ | ____________ ____________ | | ___ / ____ || ____________ ____________ | ___ / ____ | ____________ ____________ | | ___ / ____ || ____________ ____________ | ___ / ____ | ____________ ____________ | | ___ / ____ || ____________ ____________ | ___ / ____ | ____________ ____________ | | ___ / ____ || ____________ ____________ | ___ / ____ |
___ | | \/ 5 *\/ 6 - \/ 11 || ___ |\/ 5 *\/ 6 - \/ 11 | ____ | | \/ 5 *\/ 6 - \/ 11 || ____ |\/ 5 *\/ 6 - \/ 11 | ____ | |\/ 5 *\/ 6 - \/ 11 || ____ |\/ 5 *\/ 6 - \/ 11 | ___ | |\/ 5 *\/ 6 - \/ 11 || ___ |\/ 5 *\/ 6 - \/ 11 | ___ / ____ / ____ | |\/ 5 *\/ 6 + \/ 11 || ___ / ____ / ____ |\/ 5 *\/ 6 + \/ 11 | ____ / ____ / ____ | |\/ 5 *\/ 6 + \/ 11 || ____ / ____ / ____ |\/ 5 *\/ 6 + \/ 11 | ____ / ____ / ____ | | \/ 5 *\/ 6 + \/ 11 || ____ / ____ / ____ |\/ 5 *\/ 6 + \/ 11 | ___ / ____ / ____ | | \/ 5 *\/ 6 + \/ 11 || ___ / ____ / ____ |\/ 5 *\/ 6 + \/ 11 |
3245*\/ 5 *|pi*I + log|-tan(1/2) + ---------------------|| 3245*\/ 5 *log|---------------------| 895*\/ 55 *|pi*I + log|-tan(1/2) + ---------------------|| 895*\/ 55 *log|---------------------| 895*\/ 55 *|pi*I + log|---------------------|| 895*\/ 55 *log|--------------------- + tan(1/2)| 3245*\/ 5 *|pi*I + log|---------------------|| 3245*\/ 5 *log|--------------------- + tan(1/2)| 649*\/ 5 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *|pi*I + log|---------------------|| 649*\/ 5 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *log|--------------------- + tan(1/2)| 179*\/ 55 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *|pi*I + log|---------------------|| 179*\/ 55 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *log|--------------------- + tan(1/2)| 179*\/ 55 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *|pi*I + log|-tan(1/2) + ---------------------|| 179*\/ 55 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *log|---------------------| 649*\/ 5 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *|pi*I + log|-tan(1/2) + ---------------------|| 649*\/ 5 *\/ 6 + \/ 11 *\/ 6 - \/ 11 *log|---------------------|
\ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 / \ \ 5 // \ 5 /
- ---------------------------------------------------------- - --------------------------------------------------- - ---------------------------------------------------------- - --------------------------------------------------- + --------------------------------------------------- + --------------------------------------------------- + --------------------------------------------------- + --------------------------------------------------- - ----------------------------------------------------------------------------- - ------------------------------------------------------------------------------- - ------------------------------------------------------------------------------ - -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------ + --------------------------------------------------------------------- + ----------------------------------------------------------------------------------------- + --------------------------------------------------------------------
____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________
/ ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____
26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11 26180*\/ 6 - \/ 11 + 8280*\/ 11 *\/ 6 - \/ 11
$$- \frac{649 \sqrt{5} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{179 \sqrt{55} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{895 \sqrt{55} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{3245 \sqrt{5} \log{\left(\tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{179 \sqrt{55} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \log{\left(\frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{895 \sqrt{55} \log{\left(\frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{3245 \sqrt{5} \log{\left(\frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{649 \sqrt{5} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \log{\left(\frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)}}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{649 \sqrt{5} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \left(\log{\left(\frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{3245 \sqrt{5} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{895 \sqrt{55} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} - \frac{179 \sqrt{55} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \left(\log{\left(\frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{179 \sqrt{55} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{895 \sqrt{55} \left(\log{\left(\frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{3245 \sqrt{5} \left(\log{\left(\frac{\sqrt{5} \sqrt{6 - \sqrt{11}}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}} + \frac{649 \sqrt{5} \sqrt{6 - \sqrt{11}} \sqrt{\sqrt{11} + 6} \left(\log{\left(- \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{5} \sqrt{\sqrt{11} + 6}}{5} \right)} + i \pi\right)}{26180 \sqrt{6 - \sqrt{11}} + 8280 \sqrt{11} \sqrt{6 - \sqrt{11}}}$$
-3245*sqrt(5)*(pi*i + log(-tan(1/2) + sqrt(5)*sqrt(6 - sqrt(11))/5))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) - 3245*sqrt(5)*log(sqrt(5)*sqrt(6 - sqrt(11))/5)/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) - 895*sqrt(55)*(pi*i + log(-tan(1/2) + sqrt(5)*sqrt(6 - sqrt(11))/5))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) - 895*sqrt(55)*log(sqrt(5)*sqrt(6 - sqrt(11))/5)/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) + 895*sqrt(55)*(pi*i + log(sqrt(5)*sqrt(6 - sqrt(11))/5))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) + 895*sqrt(55)*log(sqrt(5)*sqrt(6 - sqrt(11))/5 + tan(1/2))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) + 3245*sqrt(5)*(pi*i + log(sqrt(5)*sqrt(6 - sqrt(11))/5))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) + 3245*sqrt(5)*log(sqrt(5)*sqrt(6 - sqrt(11))/5 + tan(1/2))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) - 649*sqrt(5)*sqrt(6 + sqrt(11))*sqrt(6 - sqrt(11))*(pi*i + log(sqrt(5)*sqrt(6 + sqrt(11))/5))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) - 649*sqrt(5)*sqrt(6 + sqrt(11))*sqrt(6 - sqrt(11))*log(sqrt(5)*sqrt(6 + sqrt(11))/5 + tan(1/2))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) - 179*sqrt(55)*sqrt(6 + sqrt(11))*sqrt(6 - sqrt(11))*(pi*i + log(sqrt(5)*sqrt(6 + sqrt(11))/5))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) - 179*sqrt(55)*sqrt(6 + sqrt(11))*sqrt(6 - sqrt(11))*log(sqrt(5)*sqrt(6 + sqrt(11))/5 + tan(1/2))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) + 179*sqrt(55)*sqrt(6 + sqrt(11))*sqrt(6 - sqrt(11))*(pi*i + log(-tan(1/2) + sqrt(5)*sqrt(6 + sqrt(11))/5))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) + 179*sqrt(55)*sqrt(6 + sqrt(11))*sqrt(6 - sqrt(11))*log(sqrt(5)*sqrt(6 + sqrt(11))/5)/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) + 649*sqrt(5)*sqrt(6 + sqrt(11))*sqrt(6 - sqrt(11))*(pi*i + log(-tan(1/2) + sqrt(5)*sqrt(6 + sqrt(11))/5))/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11))) + 649*sqrt(5)*sqrt(6 + sqrt(11))*sqrt(6 - sqrt(11))*log(sqrt(5)*sqrt(6 + sqrt(11))/5)/(26180*sqrt(6 - sqrt(11)) + 8280*sqrt(11)*sqrt(6 - sqrt(11)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.