Integral of 3cosx/2dx dx

The solution

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  0            
  /            
 |             
 |  3*cos(x)   
 |  -------- dx
 |     2       
 |             
/              
pi

$$\int\limits_{\pi}^{0} \frac{3 \cos{\left(x \right)}}{2}\, dx$$

Integral((3*cos(x))/2, (x, pi, 0))

Detail solution

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

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

$\frac{3 \sin{\left(x \right)}}{2}+ \mathrm{constant}$

The answer is:

$\frac{3 \sin{\left(x \right)}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$0$$

Numerical answer [src]

-1.83696921123901e-16

-1.83696921123901e-16

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

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Identical expressions

Integral of 3cosx/2dx dx

Limits of integration:

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Piecewise:

The solution