Sr Examen
Integral de (1)/(1+sin(x)*cos(x)) dx
Solución
Ha introducido
[src]
1 / | | 1 | ----------------- dx | 1 + sin(x)*cos(x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sin{\left(x \right)} \cos{\left(x \right)} + 1}\, dx$$
Integral(1/(1 + sin(x)*cos(x)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \ / _____________ \
| ___ / ___ ___ | | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ / ___ ___ | _____________ | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ / ___ ___ | | ___ ___ / ___ | _____________ | ___ / ___ ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ |
/ ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 /x\| ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 /x\| / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 /x\| / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 /x\| / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 /x\| / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 /x\| ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 /x\| ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 /x\| ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 /x\| ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 /x\| ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 /x\| ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 /x\| ___ / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 /x\| ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 /x\| ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 /x\| ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 /x\|
| 19*\/ 2 *log|- - + ---------------------- - ------- + tan|-|| 19*\/ 2 *log|- - - ------- - ---------------------- + tan|-|| 7*\/ 1 + I*\/ 3 *log|- - + ------- + ---------------------- + tan|-|| 7*\/ 1 + I*\/ 3 *log|- - + ------- - ---------------------- + tan|-|| 7*\/ 1 + I*\/ 3 *log|- - + ---------------------- - ------- + tan|-|| 7*\/ 1 + I*\/ 3 *log|- - - ------- - ---------------------- + tan|-|| 19*\/ 2 *log|- - + ------- + ---------------------- + tan|-|| 19*\/ 2 *log|- - + ------- - ---------------------- + tan|-|| 11*I*\/ 6 *log|- - + ------- + ---------------------- + tan|-|| 11*I*\/ 6 *log|- - + ------- - ---------------------- + tan|-|| 11*I*\/ 6 *log|- - + ---------------------- - ------- + tan|-|| 11*I*\/ 6 *log|- - - ------- - ---------------------- + tan|-|| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ---------------------- - ------- + tan|-|| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - - ------- - ---------------------- + tan|-|| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- + ---------------------- + tan|-|| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- - ---------------------- + tan|-||
| 1 \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2// \ 2 2 2 \2//
| ----------------- dx = C - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- - -------------------------------------------------------------------------------- - -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + --------------------------------------------------------------------------------
| 1 + sin(x)*cos(x) _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
| ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___
/ - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3
$$\int \frac{1}{\sin{\left(x \right)} \cos{\left(x \right)} + 1}\, dx = C + \frac{19 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}}$$
Gráfica
Respuesta
[src]
/ _____________\ / _____________\ / _____________ \ / _____________ \ / _____________ \ / _____________\ / _____________ \ / _____________ \ / _____________\ / _____________\ / _____________ \ / _____________ \ / _____________ \ / _____________\ / _____________ \ / _____________ \ / _____________ \ / _____________\ / _____________ \ / _____________ \ / _____________\ / _____________\ / _____________ \ / _____________ \ / _____________\ / _____________\ / _____________ \ / _____________ \ / _____________ \ / _____________\ / _____________ \ / _____________ \
| ___ ___ / ___ | | ___ ___ / ___ | | ___ / ___ ___ | | ___ ___ / ___ | _____________ | ___ / ___ ___| _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ / ___ ___ | _____________ | ___ ___ / ___ | | ___ / ___ ___| | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ / ___ ___| | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ / ___ ___ | | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ / ___ ___ | _____________ | ___ ___ / ___ | _____________ | ___ / ___ ___| _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ |
___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 |
19*\/ 2 *log|- - + ------- + ----------------------| 19*\/ 2 *log|- - + ------- - ----------------------| 19*\/ 2 *log|- - + ---------------------- - ------- + tan(1/2)| 19*\/ 2 *log|- - - ------- - ---------------------- + tan(1/2)| 7*\/ 1 + I*\/ 3 *log|- - + ---------------------- - -------| 7*\/ 1 + I*\/ 3 *log|- - - ------- - ----------------------| 7*\/ 1 + I*\/ 3 *log|- - + ------- + ---------------------- + tan(1/2)| 7*\/ 1 + I*\/ 3 *log|- - + ------- - ---------------------- + tan(1/2)| 7*\/ 1 + I*\/ 3 *log|- - + ------- + ----------------------| 7*\/ 1 + I*\/ 3 *log|- - + ------- - ----------------------| 7*\/ 1 + I*\/ 3 *log|- - + ---------------------- - ------- + tan(1/2)| 7*\/ 1 + I*\/ 3 *log|- - - ------- - ---------------------- + tan(1/2)| 19*\/ 2 *log|- - + ---------------------- - -------| 19*\/ 2 *log|- - - ------- - ----------------------| 19*\/ 2 *log|- - + ------- + ---------------------- + tan(1/2)| 19*\/ 2 *log|- - + ------- - ---------------------- + tan(1/2)| 11*I*\/ 6 *log|- - + ---------------------- - -------| 11*I*\/ 6 *log|- - - ------- - ----------------------| 11*I*\/ 6 *log|- - + ------- + ---------------------- + tan(1/2)| 11*I*\/ 6 *log|- - + ------- - ---------------------- + tan(1/2)| 11*I*\/ 6 *log|- - + ------- + ----------------------| 11*I*\/ 6 *log|- - + ------- - ----------------------| 11*I*\/ 6 *log|- - + ---------------------- - ------- + tan(1/2)| 11*I*\/ 6 *log|- - - ------- - ---------------------- + tan(1/2)| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- + ----------------------| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- - ----------------------| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ---------------------- - ------- + tan(1/2)| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - - ------- - ---------------------- + tan(1/2)| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ---------------------- - -------| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - - ------- - ----------------------| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- + ---------------------- + tan(1/2)| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- - ---------------------- + tan(1/2)|
\ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 /
- -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - ---------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + ---------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___
- 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3
$$\frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}}$$
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/ _____________\ / _____________\ / _____________ \ / _____________ \ / _____________ \ / _____________\ / _____________ \ / _____________ \ / _____________\ / _____________\ / _____________ \ / _____________ \ / _____________ \ / _____________\ / _____________ \ / _____________ \ / _____________ \ / _____________\ / _____________ \ / _____________ \ / _____________\ / _____________\ / _____________ \ / _____________ \ / _____________\ / _____________\ / _____________ \ / _____________ \ / _____________ \ / _____________\ / _____________ \ / _____________ \
| ___ ___ / ___ | | ___ ___ / ___ | | ___ / ___ ___ | | ___ ___ / ___ | _____________ | ___ / ___ ___| _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ / ___ ___ | _____________ | ___ ___ / ___ | | ___ / ___ ___| | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ / ___ ___| | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ / ___ ___ | | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ / ___ ___ | _____________ | ___ ___ / ___ | _____________ | ___ / ___ ___| _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ | _____________ | ___ ___ / ___ |
___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ / ___ | 1 \/ 2 *\/ 1 + I*\/ 3 I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 | ___ / ___ | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 |
19*\/ 2 *log|- - + ------- + ----------------------| 19*\/ 2 *log|- - + ------- - ----------------------| 19*\/ 2 *log|- - + ---------------------- - ------- + tan(1/2)| 19*\/ 2 *log|- - - ------- - ---------------------- + tan(1/2)| 7*\/ 1 + I*\/ 3 *log|- - + ---------------------- - -------| 7*\/ 1 + I*\/ 3 *log|- - - ------- - ----------------------| 7*\/ 1 + I*\/ 3 *log|- - + ------- + ---------------------- + tan(1/2)| 7*\/ 1 + I*\/ 3 *log|- - + ------- - ---------------------- + tan(1/2)| 7*\/ 1 + I*\/ 3 *log|- - + ------- + ----------------------| 7*\/ 1 + I*\/ 3 *log|- - + ------- - ----------------------| 7*\/ 1 + I*\/ 3 *log|- - + ---------------------- - ------- + tan(1/2)| 7*\/ 1 + I*\/ 3 *log|- - - ------- - ---------------------- + tan(1/2)| 19*\/ 2 *log|- - + ---------------------- - -------| 19*\/ 2 *log|- - - ------- - ----------------------| 19*\/ 2 *log|- - + ------- + ---------------------- + tan(1/2)| 19*\/ 2 *log|- - + ------- - ---------------------- + tan(1/2)| 11*I*\/ 6 *log|- - + ---------------------- - -------| 11*I*\/ 6 *log|- - - ------- - ----------------------| 11*I*\/ 6 *log|- - + ------- + ---------------------- + tan(1/2)| 11*I*\/ 6 *log|- - + ------- - ---------------------- + tan(1/2)| 11*I*\/ 6 *log|- - + ------- + ----------------------| 11*I*\/ 6 *log|- - + ------- - ----------------------| 11*I*\/ 6 *log|- - + ---------------------- - ------- + tan(1/2)| 11*I*\/ 6 *log|- - - ------- - ---------------------- + tan(1/2)| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- + ----------------------| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- - ----------------------| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ---------------------- - ------- + tan(1/2)| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - - ------- - ---------------------- + tan(1/2)| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ---------------------- - -------| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - - ------- - ----------------------| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- + ---------------------- + tan(1/2)| 15*I*\/ 3 *\/ 1 + I*\/ 3 *log|- - + ------- - ---------------------- + tan(1/2)|
\ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 /
- -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - ---------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------- + -------------------------------------------------------------------------- + -------------------------------------------------------------------------- + ---------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------
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___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___ ___ / ___ ___ ___ / ___
- 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3 - 33*\/ 2 + 45*\/ 1 + I*\/ 3 - 19*I*\/ 6 + 7*I*\/ 3 *\/ 1 + I*\/ 3
$$\frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{7 \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{19 \sqrt{2} \log{\left(- \frac{1}{2} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{11 \sqrt{6} i \log{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} + \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}} - \frac{15 \sqrt{3} i \sqrt{1 + \sqrt{3} i} \log{\left(- \frac{1}{2} + \tan{\left(\frac{1}{2} \right)} - \frac{\sqrt{3} i}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} \right)}}{- 33 \sqrt{2} - 19 \sqrt{6} i + 7 \sqrt{3} i \sqrt{1 + \sqrt{3} i} + 45 \sqrt{1 + \sqrt{3} i}}$$
-19*sqrt(2)*log(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 19*sqrt(2)*log(-1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 - i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 19*sqrt(2)*log(-1/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2 - i*sqrt(3)/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 19*sqrt(2)*log(-1/2 - i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 7*sqrt(1 + i*sqrt(3))*log(-1/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2 - i*sqrt(3)/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 7*sqrt(1 + i*sqrt(3))*log(-1/2 - i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 7*sqrt(1 + i*sqrt(3))*log(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 7*sqrt(1 + i*sqrt(3))*log(-1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 - i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 7*sqrt(1 + i*sqrt(3))*log(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 7*sqrt(1 + i*sqrt(3))*log(-1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 - i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 7*sqrt(1 + i*sqrt(3))*log(-1/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2 - i*sqrt(3)/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 7*sqrt(1 + i*sqrt(3))*log(-1/2 - i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 19*sqrt(2)*log(-1/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2 - i*sqrt(3)/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 19*sqrt(2)*log(-1/2 - i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 19*sqrt(2)*log(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 19*sqrt(2)*log(-1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 - i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 11*i*sqrt(6)*log(-1/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2 - i*sqrt(3)/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 11*i*sqrt(6)*log(-1/2 - i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 11*i*sqrt(6)*log(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 11*i*sqrt(6)*log(-1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 - i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 11*i*sqrt(6)*log(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 11*i*sqrt(6)*log(-1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 - i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 11*i*sqrt(6)*log(-1/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2 - i*sqrt(3)/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 11*i*sqrt(6)*log(-1/2 - i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 15*i*sqrt(3)*sqrt(1 + i*sqrt(3))*log(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 15*i*sqrt(3)*sqrt(1 + i*sqrt(3))*log(-1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 - i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 15*i*sqrt(3)*sqrt(1 + i*sqrt(3))*log(-1/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2 - i*sqrt(3)/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) - 15*i*sqrt(3)*sqrt(1 + i*sqrt(3))*log(-1/2 - i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 15*i*sqrt(3)*sqrt(1 + i*sqrt(3))*log(-1/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2 - i*sqrt(3)/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 15*i*sqrt(3)*sqrt(1 + i*sqrt(3))*log(-1/2 - i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2)/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 15*i*sqrt(3)*sqrt(1 + i*sqrt(3))*log(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3))) + 15*i*sqrt(3)*sqrt(1 + i*sqrt(3))*log(-1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 - i*sqrt(3))/2 + tan(1/2))/(-33*sqrt(2) + 45*sqrt(1 + i*sqrt(3)) - 19*i*sqrt(6) + 7*i*sqrt(3)*sqrt(1 + i*sqrt(3)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.