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dx/cos^2(4x)

Integral of dx/cos^2(4x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |      1       
 |  --------- dx
 |     2        
 |  cos (4*x)   
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{1}{\cos^{2}{\left(4 x \right)}}\, dx$$
Integral(1/(cos(4*x)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                             
 |                              
 |     1               sin(4*x) 
 | --------- dx = C + ----------
 |    2               4*cos(4*x)
 | cos (4*x)                    
 |                              
/                               
$$\int \frac{1}{\cos^{2}{\left(4 x \right)}}\, dx = C + \frac{\sin{\left(4 x \right)}}{4 \cos{\left(4 x \right)}}$$
The graph
The answer [src]
  1             
  /             
 |              
 |      1       
 |  --------- dx
 |     2        
 |  cos (4*x)   
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{1}{\cos^{2}{\left(4 x \right)}}\, dx$$
=
=
  1             
  /             
 |              
 |      1       
 |  --------- dx
 |     2        
 |  cos (4*x)   
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{1}{\cos^{2}{\left(4 x \right)}}\, dx$$
Integral(cos(4*x)^(-2), (x, 0, 1))
Numerical answer [src]
264.718867469902
264.718867469902
The graph
Integral of dx/cos^2(4x) dx

    Use the examples entering the upper and lower limits of integration.