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Integral of dx/cos(x/5)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |     1      
 |  ------- dx
 |     2/x\   
 |  cos |-|   
 |      \5/   
 |            
/             
0             
$$\int\limits_{0}^{1} \frac{1}{\cos^{2}{\left(\frac{x}{5} \right)}}\, dx$$
Integral(1/(cos(x/5)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                      /x\
 |                  5*sin|-|
 |    1                  \5/
 | ------- dx = C + --------
 |    2/x\              /x\ 
 | cos |-|           cos|-| 
 |     \5/              \5/ 
 |                          
/                           
$$\int \frac{1}{\cos^{2}{\left(\frac{x}{5} \right)}}\, dx = C + \frac{5 \sin{\left(\frac{x}{5} \right)}}{\cos{\left(\frac{x}{5} \right)}}$$
The graph
The answer [src]
5*sin(1/5)
----------
 cos(1/5) 
$$\frac{5 \sin{\left(\frac{1}{5} \right)}}{\cos{\left(\frac{1}{5} \right)}}$$
=
=
5*sin(1/5)
----------
 cos(1/5) 
$$\frac{5 \sin{\left(\frac{1}{5} \right)}}{\cos{\left(\frac{1}{5} \right)}}$$
5*sin(1/5)/cos(1/5)
Numerical answer [src]
1.01355017754336
1.01355017754336

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