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Identical expressions
-6cosx/ two
minus 6 co sinus of e of x divide by 2
minus 6 co sinus of e of x divide by two
-6cosx divide by 2
-6cosx/2dx
Similar expressions
6cosx/2

Integral of -6cosx/2 dx

The solution

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 pi             
  /             
 |              
 |  -6*cos(x)   
 |  --------- dx
 |      2       
 |              
/               
0

$$\int\limits_{0}^{\pi} \frac{\left(-1\right) 6 \cos{\left(x \right)}}{2}\, dx$$

Integral((-6*cos(x))/2, (x, 0, pi))

Detail solution

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

$\int \frac{\left(-1\right) 6 \cos{\left(x \right)}}{2}\, dx = \frac{\int \left(- 6 \cos{\left(x \right)}\right)\, dx}{2}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- 6 \cos{\left(x \right)}\right)\, dx = - 6 \int \cos{\left(x \right)}\, dx$
  1. The integral of cosine is sine:
    
    $\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}$
  So, the result is: $- 6 \sin{\left(x \right)}$
So, the result is: $- 3 \sin{\left(x \right)}$
Add the constant of integration:

$- 3 \sin{\left(x \right)}+ \mathrm{constant}$

The answer is:

$- 3 \sin{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                           
 |                            
 | -6*cos(x)                  
 | --------- dx = C - 3*sin(x)
 |     2                      
 |                            
/

$$\int \frac{\left(-1\right) 6 \cos{\left(x \right)}}{2}\, dx = C - 3 \sin{\left(x \right)}$$

Simplify

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Plot the graph f(x)

The answer [src]

$$0$$

Numerical answer [src]

-3.67393842247802e-16

-3.67393842247802e-16

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

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Integral of -6cosx/2 dx

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Piecewise:

The solution