Sr Examen

Otras calculadoras

Resolución de integrales/ ln(abs(sin(x)))*ln(cos(x))/sin(x)/cos(x)

Integral de ln(abs(sin(x)))*ln(cos(x))/sin(x)/cos(x) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
 pi                               
  /                               
 |                                
 |  /log(|sin(x)|)*log(cos(x))\   
 |  |-------------------------|   
 |  \          sin(x)         /   
 |  --------------------------- dx
 |             cos(x)             
 |                                
/                                 
0
$$\int\limits_{0}^{\pi} \frac{\log{\left(\cos{\left(x \right)} \right)} \log{\left(\left|{\sin{\left(x \right)}}\right| \right)} \frac{1}{\sin{\left(x \right)}}}{\cos{\left(x \right)}}\, dx$$ 
Integral(((log(Abs(sin(x)))*log(cos(x)))/sin(x))/cos(x), (x, 0, pi))
Respuesta (Indefinida) [src] 
  /                                                                    
 |                                                                     
 | /log(|sin(x)|)*log(cos(x))\            /                            
 | |-------------------------|           |                             
 | \          sin(x)         /           | log(|sin(x)|)*log(cos(x))   
 | --------------------------- dx = C +  | ------------------------- dx
 |            cos(x)                     |       cos(x)*sin(x)         
 |                                       |                             
/                                       /
$$\int \frac{\log{\left(\cos{\left(x \right)} \right)} \log{\left(\left|{\sin{\left(x \right)}}\right| \right)} \frac{1}{\sin{\left(x \right)}}}{\cos{\left(x \right)}}\, dx = C + \int \frac{\log{\left(\cos{\left(x \right)} \right)} \log{\left(\left|{\sin{\left(x \right)}}\right| \right)}}{\sin{\left(x \right)} \cos{\left(x \right)}}\, dx$$
Simplificar
Respuesta numérica [src] 
(-4.83163586248317e-18 + 2109.71529713965j)
(-4.83163586248317e-18 + 2109.71529713965j)

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

    © Sr Examen – Калькулятор