Integral of 2cosx/2 dx

The solution

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  p            
  /            
 |             
 |  2*cos(x)   
 |  -------- dx
 |     2       
 |             
/              
p              
-              
3

$$\int\limits_{\frac{p}{3}}^{p} \frac{2 \cos{\left(x \right)}}{2}\, dx$$

Integral((2*cos(x))/2, (x, p/3, p))

Detail solution

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

$\int \frac{2 \cos{\left(x \right)}}{2}\, dx = \frac{\int 2 \cos{\left(x \right)}\, dx}{2}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 2 \cos{\left(x \right)}\, dx = 2 \int \cos{\left(x \right)}\, dx$
  1. Don't know the steps in finding this integral.
    
    But the integral is
    
    $\sin{\left(x \right)}$
  So, the result is: $2 \sin{\left(x \right)}$
So, the result is: $\sin{\left(x \right)}$
Add the constant of integration:

$\sin{\left(x \right)}+ \mathrm{constant}$

The answer is:

$\sin{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                        
 |                         
 | 2*cos(x)                
 | -------- dx = C + sin(x)
 |    2                    
 |                         
/

$$\int \frac{2 \cos{\left(x \right)}}{2}\, dx = C + \sin{\left(x \right)}$$

Simplify

The answer [src]

     /p\         
- sin|-| + sin(p)
     \3/

$$- \sin{\left(\frac{p}{3} \right)} + \sin{\left(p \right)}$$

     /p\         
- sin|-| + sin(p)
     \3/

$$- \sin{\left(\frac{p}{3} \right)} + \sin{\left(p \right)}$$

-sin(p/3) + sin(p)

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

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Integral of 2cosx/2 dx

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