Mister Exam

Integral of cos4x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |  cos(4*x) dx
 |             
/              
0              
$$\int\limits_{0}^{1} \cos{\left(4 x \right)}\, dx$$
Integral(cos(4*x), (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. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                          
 |                   sin(4*x)
 | cos(4*x) dx = C + --------
 |                      4    
/                            
$$\int \cos{\left(4 x \right)}\, dx = C + \frac{\sin{\left(4 x \right)}}{4}$$
The graph
The answer [src]
sin(4)
------
  4   
$$\frac{\sin{\left(4 \right)}}{4}$$
=
=
sin(4)
------
  4   
$$\frac{\sin{\left(4 \right)}}{4}$$
sin(4)/4
Numerical answer [src]
-0.189200623826982
-0.189200623826982
The graph
Integral of cos4x dx

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