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Solving integrals/ 1/2sinx/4dx

Integral of 1/2sinx/4dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2*pi           
   /            
  |             
  |  /sin(x)\   
  |  |------|   
  |  \  2   /   
  |  -------- dx
  |     4       
  |             
 /              
 pi
$$\int\limits_{\pi}^{2 \pi} \frac{\frac{1}{2} \sin{\left(x \right)}}{4}\, dx$$ 
Integral((sin(x)/2)/4, (x, pi, 2*pi))
Detail solution

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

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

      1. The integral of sine is negative cosine:

      So, the result is:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                        
 |                         
 | /sin(x)\                
 | |------|                
 | \  2   /          cos(x)
 | -------- dx = C - ------
 |    4                8   
 |                         
/
$$\int \frac{\frac{1}{2} \sin{\left(x \right)}}{4}\, dx = C - \frac{\cos{\left(x \right)}}{8}$$
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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