/ 2*I*a \
log|-------------------|
| -I*n I*n |
| ------ ------|
| 3 3|
| 1 + n 1 + n |
\- e + e /
------------------------
log(n)
$$\frac{\log{\left(\frac{2 i a}{e^{\frac{i n}{n^{3} + 1}} - e^{- \frac{i n}{n^{3} + 1}}} \right)}}{\log{\left(n \right)}}$$
log(2*i*a/(-exp(-i*n/(1 + n^3)) + exp(i*n/(1 + n^3))))/log(n)
Parte trigonométrica
[src]
/ a \
log|------------------|
| / pi n \|
|cos|- -- + ------||
| | 2 3||
\ \ 1 + n //
-----------------------
log(n)
$$\frac{\log{\left(\frac{a}{\cos{\left(\frac{n}{n^{3} + 1} - \frac{\pi}{2} \right)}} \right)}}{\log{\left(n \right)}}$$
/ / 2/ n \\\
|a*|1 + cot |----------|||
| | | / 3\|||
| \ \2*\1 + n ///|
log|------------------------|
| / n \ |
| 2*cot|----------| |
| | / 3\| |
\ \2*\1 + n // /
-----------------------------
log(n)
$$\frac{\log{\left(\frac{a \left(\cot^{2}{\left(\frac{n}{2 \left(n^{3} + 1\right)} \right)} + 1\right)}{2 \cot{\left(\frac{n}{2 \left(n^{3} + 1\right)} \right)}} \right)}}{\log{\left(n \right)}}$$
/ / n \\
log|a*csc|------||
| | 3||
\ \1 + n //
------------------
log(n)
$$\frac{\log{\left(a \csc{\left(\frac{n}{n^{3} + 1} \right)} \right)}}{\log{\left(n \right)}}$$
/ / pi n \\
log|a*sec|- -- + ------||
| | 2 3||
\ \ 1 + n //
-------------------------
log(n)
$$\frac{\log{\left(a \sec{\left(\frac{n}{n^{3} + 1} - \frac{\pi}{2} \right)} \right)}}{\log{\left(n \right)}}$$
/ /pi n \\
log|a*sec|-- - ------||
| |2 3||
\ \ 1 + n //
-----------------------
log(n)
$$\frac{\log{\left(a \sec{\left(- \frac{n}{n^{3} + 1} + \frac{\pi}{2} \right)} \right)}}{\log{\left(n \right)}}$$
/ / 2/ n \\\
|a*|1 + tan |----------|||
| | | / 3\|||
| \ \2*\1 + n ///|
log|------------------------|
| / n \ |
| 2*tan|----------| |
| | / 3\| |
\ \2*\1 + n // /
-----------------------------
log(n)
$$\frac{\log{\left(\frac{a \left(\tan^{2}{\left(\frac{n}{2 \left(n^{3} + 1\right)} \right)} + 1\right)}{2 \tan{\left(\frac{n}{2 \left(n^{3} + 1\right)} \right)}} \right)}}{\log{\left(n \right)}}$$
log(a*(1 + tan(n/(2*(1 + n^3)))^2)/(2*tan(n/(2*(1 + n^3)))))/log(n)