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Solving integrals/ cos^-2(x/3)

Integral of cos^-2(x/3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3*pi          
 ----          
  4            
   /           
  |            
  |     1      
  |  ------- dx
  |     2/x\   
  |  cos |-|   
  |      \3/   
  |            
 /             
 0
$$\int\limits_{0}^{\frac{3 \pi}{4}} \frac{1}{\cos^{2}{\left(\frac{x}{3} \right)}}\, dx$$ 
Integral(cos(x/3)^(-2), (x, 0, 3*pi/4))
The answer (Indefinite) [src] 
  /                      /x\
 |                  3*sin|-|
 |    1                  \3/
 | ------- dx = C + --------
 |    2/x\              /x\ 
 | cos |-|           cos|-| 
 |     \3/              \3/ 
 |                          
/
$$\int \frac{1}{\cos^{2}{\left(\frac{x}{3} \right)}}\, dx = C + \frac{3 \sin{\left(\frac{x}{3} \right)}}{\cos{\left(\frac{x}{3} \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
3
$$3$$ 
=
= 
3
$$3$$ 
3
Numerical answer [src] 
3.0
3.0

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

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