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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         
$$\int\limits_{0}^{1} \frac{\left(-1\right) x}{2}\, dx$$
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 a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /               
 |               2
 | -x           x 
 | --- dx = C - --
 |  2           4 
 |                
/                 
$$\int \frac{\left(-1\right) x}{2}\, dx = C - \frac{x^{2}}{4}$$
The graph
The answer [src]
-1/4
$$- \frac{1}{4}$$
=
=
-1/4
$$- \frac{1}{4}$$
-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.