/ ___ \
___ | \/ 3 *sin(x) |
4*\/ 3 *atan|--------------|
/ sin(x) \ \3*(1 + cos(x))/
2*atan|----------| - ----------------------------
\1 + cos(x)/ 3
$$2 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )} - \frac{4 \sqrt{3}}{3} \operatorname{atan}{\left (\frac{\sqrt{3} \sin{\left (x \right )}}{3 \cos{\left (x \right )} + 3} \right )}$$
2.0*atan(sin(x)/(1 + cos(x))) - 2.3094010767585*atan(sin(x)/(sqrt(3)*(1 + cos(x))))
Рациональный знаменатель
[src] / ___ \
/ sin(x) \ ___ |\/ 3 *sin(x)|
6*atan|----------| - 4*\/ 3 *atan|------------|
\1 + cos(x)/ \3 + 3*cos(x)/
-----------------------------------------------
3
$$\frac{1}{3} \left(6 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )} - 4 \sqrt{3} \operatorname{atan}{\left (\frac{\sqrt{3} \sin{\left (x \right )}}{3 \cos{\left (x \right )} + 3} \right )}\right)$$
Объединение рациональных выражений
[src] / / ___ \\
| / sin(x) \ ___ | \/ 3 *sin(x) ||
2*|3*atan|----------| - 2*\/ 3 *atan|--------------||
\ \1 + cos(x)/ \3*(1 + cos(x))//
-----------------------------------------------------
3
$$\frac{1}{3} \left(6 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )} - 4 \sqrt{3} \operatorname{atan}{\left (\frac{\sqrt{3} \sin{\left (x \right )}}{3 \cos{\left (x \right )} + 3} \right )}\right)$$
/ ___ \
___ | \/ 3 *sin(x) |
4*\/ 3 *atan|--------------|
/ sin(x) \ \3*(1 + cos(x))/
2*atan|----------| - ----------------------------
\1 + cos(x)/ 3
$$2 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )} - \frac{4 \sqrt{3}}{3} \operatorname{atan}{\left (\frac{\sqrt{3} \sin{\left (x \right )}}{3 \cos{\left (x \right )} + 3} \right )}$$
___ / sin(x) \
4*\/ 3 *atan|--------------------|
| ___ ___ |
/ sin(x) \ \\/ 3 + \/ 3 *cos(x)/
2*atan|----------| - ----------------------------------
\1 + cos(x)/ 3
$$- \frac{4 \sqrt{3}}{3} \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\sqrt{3} \cos{\left (x \right )} + \sqrt{3}} \right )} + 2 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )}$$
/ sin(x) \
2*2*atan|------------------|
| ___ |
/ sin(x) \ \\/ 3 *(1 + cos(x))/
2*atan|----------| - ----------------------------
\1 + cos(x)/ ___
\/ 3
$$- 4 \frac{\sqrt{3}}{3} \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\sqrt{3} \left(\cos{\left (x \right )} + 1\right)} \right )} + 2 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )}$$
/ ___ \
___ | \/ 3 *sin(x) |
4*\/ 3 *atan|--------------|
/ sin(x) \ \3*(1 + cos(x))/
2*atan|----------| - ----------------------------
\1 + cos(x)/ 3
$$2 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )} - \frac{4 \sqrt{3}}{3} \operatorname{atan}{\left (\frac{\sqrt{3} \sin{\left (x \right )}}{3 \cos{\left (x \right )} + 3} \right )}$$
Тригонометрическая часть
[src] ___ / sin(x) \
4*\/ 3 *atan|------------------|
| ___ |
/ sin(x) \ \\/ 3 *(1 + cos(x))/
2*atan|----------| - --------------------------------
\1 + cos(x)/ 3
$$- \frac{4 \sqrt{3}}{3} \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\sqrt{3} \left(\cos{\left (x \right )} + 1\right)} \right )} + 2 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )}$$
/ / ___ \\
| / sin(x) \ ___ | \/ 3 *sin(x) ||
2*|3*atan|----------| - 2*\/ 3 *atan|--------------||
\ \1 + cos(x)/ \3*(1 + cos(x))//
-----------------------------------------------------
3
$$\frac{1}{3} \left(6 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )} - 4 \sqrt{3} \operatorname{atan}{\left (\frac{\sqrt{3} \sin{\left (x \right )}}{3 \cos{\left (x \right )} + 3} \right )}\right)$$
/ ___ \
___ | \/ 3 *sin(x) |
4*\/ 3 *atan|--------------|
/ sin(x) \ \3*(1 + cos(x))/
2*atan|----------| - ----------------------------
\1 + cos(x)/ 3
$$2 \operatorname{atan}{\left (\frac{\sin{\left (x \right )}}{\cos{\left (x \right )} + 1} \right )} - \frac{4 \sqrt{3}}{3} \operatorname{atan}{\left (\frac{\sqrt{3} \sin{\left (x \right )}}{3 \cos{\left (x \right )} + 3} \right )}$$