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Solving integrals/ (cosx*cosx)/pi

Integral of (cosx*cosx)/pi dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                 
 --                 
 2                  
  /                 
 |                  
 |  cos(x)*cos(x)   
 |  ------------- dx
 |        pi        
 |                  
/                   
0
$$\int\limits_{0}^{\frac{\pi}{2}} \frac{\cos{\left(x \right)} \cos{\left(x \right)}}{\pi}\, dx$$ 
Integral((cos(x)*cos(x))/pi, (x, 0, pi/2))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                       x   cos(x)*sin(x)
 |                        - + -------------
 | cos(x)*cos(x)          2         2      
 | ------------- dx = C + -----------------
 |       pi                       pi       
 |                                         
/
$$\int \frac{\cos{\left(x \right)} \cos{\left(x \right)}}{\pi}\, dx = C + \frac{\frac{x}{2} + \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{2}}{\pi}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/4
$$\frac{1}{4}$$ 
=
= 
1/4
$$\frac{1}{4}$$ 
1/4
Numerical answer [src] 
0.25
0.25

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

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