Integral of 3sinx/3 dx

The solution

You have entered [src]

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

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

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

Detail solution

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

$\int \frac{3 \sin{\left(x \right)}}{3}\, dx = \frac{\int 3 \sin{\left(x \right)}\, dx}{3}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 3 \sin{\left(x \right)}\, dx = 3 \int \sin{\left(x \right)}\, dx$
  1. Don't know the steps in finding this integral.
    
    But the integral is
    
    $- \cos{\left(x \right)}$
  So, the result is: $- 3 \cos{\left(x \right)}$
So, the result is: $- \cos{\left(x \right)}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$1$$

Numerical answer [src]

1.0

1.0

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of 3sinx/3 dx

Limits of integration:

The graph:

Piecewise:

The solution