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Resolución de integrales/ cos^2/ (tg^6*(7x))/(cos^2*(7x))

Integral de (tg^6*(7x))/(cos^2*(7x)) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1             
  /             
 |              
 |     6        
 |  tan (7*x)   
 |  --------- dx
 |     2        
 |  cos (7*x)   
 |              
/               
0
∫01tan⁡6(7x)cos⁡2(7x) dx\int\limits_{0}^{1} \frac{\tan^{6}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx 
Integral(tan(7*x)^6/cos(7*x)^2, (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                                                                           
 |                                                                            
 |    6                                                                       
 | tan (7*x)           3*sin(7*x)      sin(7*x)      sin(7*x)      3*sin(7*x) 
 | --------- dx = C - ------------ - ----------- + ------------ + ------------
 |    2                     5        49*cos(7*x)         7              3     
 | cos (7*x)          49*cos (7*x)                 49*cos (7*x)   49*cos (7*x)
 |                                                                            
/
∫tan⁡6(7x)cos⁡2(7x) dx=C−sin⁡(7x)49cos⁡(7x)+3sin⁡(7x)49cos⁡3(7x)−3sin⁡(7x)49cos⁡5(7x)+sin⁡(7x)49cos⁡7(7x)\int \frac{\tan^{6}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx = C - \frac{\sin{\left(7 x \right)}}{49 \cos{\left(7 x \right)}} + \frac{3 \sin{\left(7 x \right)}}{49 \cos^{3}{\left(7 x \right)}} - \frac{3 \sin{\left(7 x \right)}}{49 \cos^{5}{\left(7 x \right)}} + \frac{\sin{\left(7 x \right)}}{49 \cos^{7}{\left(7 x \right)}}
Simplificar
Gráfica
0.001.000.100.200.300.400.500.600.700.800.90-5e2410e24
Trazar el gráfico f(x)
Respuesta [src] 
  1             
  /             
 |              
 |     6        
 |  tan (7*x)   
 |  --------- dx
 |     2        
 |  cos (7*x)   
 |              
/               
0
∫01tan⁡6(7x)cos⁡2(7x) dx\int\limits_{0}^{1} \frac{\tan^{6}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx 
=
= 
  1             
  /             
 |              
 |     6        
 |  tan (7*x)   
 |  --------- dx
 |     2        
 |  cos (7*x)   
 |              
/               
0
∫01tan⁡6(7x)cos⁡2(7x) dx\int\limits_{0}^{1} \frac{\tan^{6}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx 
Integral(tan(7*x)^6/cos(7*x)^2, (x, 0, 1))
Respuesta numérica [src] 
160667999643.228
160667999643.228

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

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