1 / ___\ / ___ \ / ___\ / ___ \
/ ___ | I*\/ 3 | ___ |I*\/ 3 | ___ | I*\/ 3 | ___ | I*\/ 3 |
| I*\/ 3 *log|1 - -------| I*\/ 3 *log|------- + cos(1)| I*\/ 3 *log|1 + -------| I*\/ 3 *log|- ------- + cos(1)|
| sin(x) \ 3 / \ 3 / \ 3 / \ 3 /
| ------------- dx = - ------------------------ - ----------------------------- + ------------------------ + -------------------------------
| 2 6 6 6 6
| 3*cos (x) + 1
|
/
0
$${{\pi}\over{3^{{{3}\over{2}}}}}-{{\arctan \left(\sqrt{3}\,\cos 1
\right)}\over{\sqrt{3}}}$$
Ответ (Неопределённый)
[src] / ___ \ / ___ \
/ ___ |I*\/ 3 | ___ | I*\/ 3 |
| I*\/ 3 *log|------- + cos(x)| I*\/ 3 *log|- ------- + cos(x)|
| sin(x) \ 3 / \ 3 /
| ------------- dx = C - ----------------------------- + -------------------------------
| 2 6 6
| 3*cos (x) + 1
|
/
$$-{{\arctan \left(\sqrt{3}\,\cos x\right)}\over{\sqrt{3}}}$$