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cos(4x-5)dx
Solving integrals/ cos(4x-5)dx

Integral of cos(4x-5)dx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |  cos(4*x - 5)*1 dx
 |                   
/                    
0
$$\int\limits_{0}^{1} \cos{\left(4 x - 5 \right)} 1\, dx$$ 
Integral(cos(4*x - 1*5)*1, (x, 0, 1))
Detail solution

  1. Let .

    Then let and substitute :

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

      1. The integral of cosine is sine:

      So, the result is:

    Now substitute back in:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                    
 |                         sin(4*x - 5)
 | cos(4*x - 5)*1 dx = C + ------------
 |                              4      
/
$${{\sin \left(4\,x-5\right)}\over{4}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  sin(1)   sin(5)
- ------ + ------
    4        4
$${{\sin 5-\sin 1}\over{4}}$$ 
=
= 
  sin(1)   sin(5)
- ------ + ------
    4        4
$$\frac{\sin{\left(5 \right)}}{4} - \frac{\sin{\left(1 \right)}}{4}$$
Упростить
Numerical answer [src] 
-0.450098814867759
-0.450098814867759
The graph
Integral of cos(4x-5)dx dx

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

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