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Solving integrals/ x-2x

Integral of x-2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |  (x - 2*x) dx
 |              
/               
0
$$\int\limits_{0}^{1} \left(- 2 x + x\right)\, dx$$ 
Integral(x - 2*x, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    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:

    1. The integral of is when :

    The result is:

  2. Add the constant of integration:

The answer is:

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

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

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