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Resolución de integrales/ sin^2/ tg(7x)/ 1/((ctg(7x)+5)*sin^2(7x))

Integral de 1/((ctg(7x)+5)*sin^2(7x)) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                            
  /                            
 |                             
 |             1               
 |  ------------------------ dx
 |                    2        
 |  (cot(7*x) + 5)*sin (7*x)   
 |                             
/                              
0
$$\int\limits_{0}^{1} \frac{1}{\left(\cot{\left(7 x \right)} + 5\right) \sin^{2}{\left(7 x \right)}}\, dx$$ 
Integral(1/((cot(7*x) + 5)*sin(7*x)^2), (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                                    /                           
 |                                    |                            
 |            1                       |            1               
 | ------------------------ dx = C +  | ------------------------ dx
 |                   2                |                   2        
 | (cot(7*x) + 5)*sin (7*x)           | (5 + cot(7*x))*sin (7*x)   
 |                                    |                            
/                                    /
$$\int \frac{1}{\left(\cot{\left(7 x \right)} + 5\right) \sin^{2}{\left(7 x \right)}}\, dx = C + \int \frac{1}{\left(\cot{\left(7 x \right)} + 5\right) \sin^{2}{\left(7 x \right)}}\, dx$$
Simplificar
Respuesta [src] 
  1                            
  /                            
 |                             
 |             1               
 |  ------------------------ dx
 |                    2        
 |  (5 + cot(7*x))*sin (7*x)   
 |                             
/                              
0
$$\int\limits_{0}^{1} \frac{1}{\left(\cot{\left(7 x \right)} + 5\right) \sin^{2}{\left(7 x \right)}}\, dx$$ 
=
= 
  1                            
  /                            
 |                             
 |             1               
 |  ------------------------ dx
 |                    2        
 |  (5 + cot(7*x))*sin (7*x)   
 |                             
/                              
0
$$\int\limits_{0}^{1} \frac{1}{\left(\cot{\left(7 x \right)} + 5\right) \sin^{2}{\left(7 x \right)}}\, dx$$ 
Integral(1/((5 + cot(7*x))*sin(7*x)^2), (x, 0, 1))
Respuesta numérica [src] 
6.00488629623463
6.00488629623463

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

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