Интеграл sin(x)*log(tan(x)) (dx)

Вы ввели

  1                      
  /                      
 |                       
 |  sin(x)*log(tan(x)) dx
 |                       
/                        
0                        

$$\int_{0}^{1} \log{\left (\tan{\left (x \right )} \right )} \sin{\left (x \right )}\, dx$$

Численный ответ

-0.150801464774004

Ответ (Неопределённый)

  /                                                                                   
 |                             log(-1 + cos(x))   log(1 + cos(x))                     
 | sin(x)*log(tan(x)) dx = C + ---------------- - --------------- - cos(x)*log(tan(x))
 |                                    2                  2                            
/                                                                                     

$$4\,\left({{2\,\log \left({{\sin x}\over{\cos x+1}}\right)-\log \left({{\sin ^2x}\over{\left(\cos x+1\right)^2}}-1\right)}\over{4}}- {{\log \left({{2\,\sin x}\over{\left(\cos x+1\right)\,\left(1-{{ \sin ^2x}\over{\left(\cos x+1\right)^2}}\right)}}\right)}\over{2\, \left({{\sin ^2x}\over{\left(\cos x+1\right)^2}}+1\right)}}\right)$$