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-xdx
Solving integrals/ -xdx

Integral of -xdx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |  -x dx
 |       
/        
0
$$\int\limits_{0}^{1} \left(- x\right)\, dx$$ 
Integral(-x, (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 
/
$$\int \left(- x\right)\, dx = C - \frac{x^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1/2
$$- \frac{1}{2}$$ 
=
= 
-1/2
$$- \frac{1}{2}$$ 
-1/2
Numerical answer [src] 
-0.5
-0.5
The graph
Integral of -xdx dx

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

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