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cos^2*5x
Solving integrals/ cos^2*5x

Integral of cos^2*5x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |     2        
 |  cos (5)*x dx
 |              
/               
0
$$\int\limits_{0}^{1} x \cos^{2}{\left(5 \right)}\, dx$$ 
Integral(cos(5)^2*x, (x, 0, 1))
Detail solution

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

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                     2    2   
 |    2               x *cos (5)
 | cos (5)*x dx = C + ----------
 |                        2     
/
$$\int x \cos^{2}{\left(5 \right)}\, dx = C + \frac{x^{2} \cos^{2}{\left(5 \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
   2   
cos (5)
-------
   2
$$\frac{\cos^{2}{\left(5 \right)}}{2}$$ 
=
= 
   2   
cos (5)
-------
   2
$$\frac{\cos^{2}{\left(5 \right)}}{2}$$ 
cos(5)^2/2
Numerical answer [src] 
0.0402321177308869
0.0402321177308869
The graph
Integral of cos^2*5x dx

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

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