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x/2

Integral of x/2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1     
  /     
 |      
 |  x   
 |  - dx
 |  2   
 |      
/       
0       
$$\int\limits_{0}^{1} \frac{x}{2}\, dx$$
Integral(x/2, (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /             
 |             2
 | x          x 
 | - dx = C + --
 | 2          4 
 |              
/               
$${{x^2}\over{4}}$$
The graph
The answer [src]
1/4
$${{1}\over{4}}$$
=
=
1/4
$$\frac{1}{4}$$
Numerical answer [src]
0.25
0.25
The graph
Integral of x/2 dx

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